A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible containing a single 2 and a single 1?

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

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

A: Given : Numbers = 1,2,3,4 and 5

Q: how many way can six books be arranged on a shelf

A: We need to find the number of ways for arrangement of six books on a shelf.

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

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Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: Phone numbers are a sequence of 10 digits. How many phone numbers are there such that the sum of any…

A: As per the question, we are given a set of conditions for phone numbers and asked to determine the…

Q: There are 550 students in your graduating class. Are there at least 3 people that share the same…

A: There are 550 students in your graduating class. We need to determine wheather there are at least 3…

Q: The 12th term in the sequence   2, -6,  18, -54, .

A: Here ,we have to find the 12 th term of the given sequence2,-6,18,-54,....The solution of the…

Q: How many integers must you pick in order to be sure that at last two of them have the same remainder…

A: To Find: Number of integers that must be picked in order to be sure that at least two of them have…

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: password contains 2 letters and 2 digits.  How many passwords are possible if repetitions are NOT…

A: The number of letters is 2 and the number of words is 2.

Q: How many 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: how many 6 digit numbers can be formed, if at the place of hundred thousand there are allowed two…

A: Yes your step is right.Hundredth thousand place can be chosen in 2 ways. And hundredth place can be…

Q: License plates from certain state consist of four different letters followed by two different…

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Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can…

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Q: How many four-digit even numbers are possible if the leftmost digit cannot be zero? Repetition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7, 7, 8, and 8?

A: To Determine: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7,…

Q: For a segment of a radio show, a disc jockey can play 8 records. If there are 13 records to select…

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Q: For a segment of a radio show, a disc jockey can play 9 records. If there are 14 records to select…

A: For a segment of radio show, a disc jockey can play 9 records.If there are 14 records to select…