From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and repetition is not allowed How many numbers can be formed?  How many are even numbers? How many are divisible by 5?

Q: How many 4 digit numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7 if one digits is…

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Q: How many different 5-digit even numbers can be formed from 0, 1, 3, 4, 5, 7, and 9 if repetitions…

A: The digits used to form the 5-digit even numbers is 0, 1, 3, 4, 5, 7, and 9.

Q: How many four digit numbers can be formed using the digits 1, 3, 4, 5, 7,9 if repetition of digits…

A: Given digits are 1,3,4,5,7,9 Total no of digits=6 No of four digit numbers if repetition is allowed…

Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7 and 8 if non…

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Q: How many 4 digit numbers can be formed using only the digits 1, 2, 3, 4, 5,  6?

A: From the provided information, The digits are 1, 2, 3, 4, 5, 6 that is number of elements (n) = 6

Q: How many three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

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Q: How many 3-digit numbers can be formed from the digits 2, 3 ,5, 6, 7 and 9, which are divisible by 5…

A: All three digit numbers which are divisible by 5 to be formed from the digits 2,3,5,6, and 7.…

Q: A 4-digit number is selected from the numbers {1,2,3,4,5,6} where the digits are selected without…

A: The digits available are 1, 2, 3, 4, 5, 6 Total number of digits = 6 A 4 digit number is to be…

Q: How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of  digits…

A: It is given that there are six digits 1, 2, 3, 4,5, 6 and 7 and to form five digit number and the…

Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is  {1,2,3,4,5,7,8}  and the range of numbers is 10 to 800. There would be 2…

Q: how many odd 3-digit numbers can be formed from 0, 1, 2, 3 and 4?

A: The digits used to make the odd number are 0, 1, 2, 3, 4.

Q: How many numbers of 4 different digits, each greater than 5000 can be formed from the digits…

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Q: How many 4 digits numbers can be formed from digits 1, 2, 3, 4 and 5 if no repetition is allowed and…

A: Answer:  48 Here we want to form a four digit number from 1,2,3,4 and 5 and number should be between…

Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

Q: How many 3 digit numbers may be formed from the digits 0,1,2,3,4, & 5 if no digit maybe repeated?

A: The given number are 0,1,2,3,4,5.

Q: How many four​-digit numbers may be formed using elements from the set ​{1, 2, 3, 4, 5, 6, 7​} if…

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Q: How many 5- digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if repetitions of…

A: Givendigits = 0,1,2,3,4,5,6,7,8,9No.of digits =10

Q: How many different 5-digit numbers that are divisible by 5, can be formed from 0, 1, 3, 4, 5, 7, and…

A: Given:Total number of digits = 7 (0, 1, 3, 4, 5, 7, and 9 ) The divisibility rule for 5:The number…

Q: A four digit marathon race number is generated using only the digits 0, 1, 2, 3, 4, 5.  If…

A: We need four-digit race number and each place can be filled by 0, 1, 2, 3, 4, & 5

Q: How many 3-digit numbers with digits in 1,2,3,4,5,6,7,8,9 (repeats allowed) are divisible by 9

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Q: . How many numbers of 5 different digits can be made from the digit 1,2,3,...9? 2. How many numbers…

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Q: How many three digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 such that the…

A: Given numbers are, 0,1,2,3,4,5,6,7,8 and 9 Total numbers are 10 We have to calculate the number of…

Q: How many three – digit numbers greater than 300 can be formed with the digits 1, 2, 3, 4 and 5 if no…

A: According to the provided information, The digits are 1, 2, 3, 4, 5 and no repetitions are allowed?…

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

Q: How many 4 digit numbers can be formed by the use of digits 1,2,3,4,6,7 if one digit is used only…

A: Givenno of digits to be used is 1,2,3,4,6,7No.of digits = 6

Q: 25) How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if…

A: This question is taken from the permutation and combination since the question is multiple hence we…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

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Q: How many three-digit numbers is there such that when the middle digit is removed they become a…

A: Let the three digit number be xyz. then on removing the middle digit, the two digit number will…

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: Given: There are 5digits 0 , 1 , 2 , 3 , 4 We need to count number of  5 digit number plates…

Q: How many three​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6​} if…

A: Given data: Set{1,2,3,4,5,6} To find: Three​-digit numbers  formed using elements from the set​.

Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7, 8

A: here odd numbers are those ends with 1,5,7 (from given digits)

Q: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

A: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

Q: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

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Q: How many three-digit odd integers can be formed using the digits 0, 1, 4, 5, 6, 7, and 9 only once?

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6,…

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Q: How many 3-digit numbers can be formed from the digits 2,3,5,6, and 9, which are divisible by 5, if…

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Q: How many three-digit numbers can be formed using the digits 2,3,4,5,6,and 8, if the number is to be…

A: Given:  The provided digits are 2, 3, 4, 5, 6, and 8. The repetition of digits is not allowed. For a…

Q: How many 3 digit numbers may be formed from the digits 0,1,2,3,4, & 5 if no digit may be repeated…

A: We have to form 3 digit numbers which are less than 330 using the digits 0, 1, 2, 3, 4 and 5. Let…

Q: How many even 4 digit numbers can be formed from the digits 1, 7, 2, 4, 6, 9, 3, and 0 if the…

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Q: A 4-digit number is selected from the numbers {1,2,3,4,5,6}{1,2,3,4,5,6} where the digits are…

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Q: How many 7-digit numbers can be formed if repetitions are not allowed and the last number cannot be…

A: We have to find 7-digit numbers that can be formed if repetitions are not allowed and the last…

Q: How many 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?

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Q: Consider 4 digit numbers with each digit from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} .  How many such…

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Q: How many four-digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repetition of…

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Q: How many ten-digit phone numbers can be formed from the digits 0,1,2,3,...,9 if the first digit may…

A: To find: No of ten-digit phone numbers can be formed from the digits 0,1,2,3,...,9 if the first…

Q: How many two-digit numbers can be formed using the digits from {2, 4, 6} if the following is true.…

A: Given: The digits are {2, 4, 6} Number of ways to form two-digit number without repetition…

Q: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

A: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

Q: How many four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of…

A: Answer: 823543   7-digit numbers can be made from the digits 1,2,3,4,5,6, and 7 if repetition of…

Q: How many even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and…

A: even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and 9