Find three even numbers less than 400, each of which can be expressed as asum of consecutive positive odd numbers in at least six different ways

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Q: Select two positive integers a and b with 5 <  a  ≤  20  and 5  <  b ≤  20.

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Q: Determine the number of integer solutions for x₁ + x₂ + x3 < 33 where x, 72 X2 2-1 and - 1 ≤ x₂ <19

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Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

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Q: Show that An, n > 5 is simple.

A: Sol:- To show that An, the alternating group of even permutations of degree n, is simple for n ≥ 5,…

Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such…

A: Ans:- x= 35 I have done solution with diagram so that you can visualise this problem...and in this…

Q: 1. Find the number of zeroes at the end of 100!

A: Introduction :Here, we have asked for the number of zeros at the end of 100 !

Q: Prove that a three-digit number is a multiple of 9 whenever the sum of the digits is a multiple of…

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Q: A state’s license plate has 7 characters. Each character can be a capital letter (A−Z), or anon-zero…

A: According to the given information, it is required to find the number of license plates that starts…

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: Show that 2 + V5 is imational number

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Q: The house of a row are numbered consecutively from 1 to 49 .show that there is a value of x such…

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Q: the real number line which equals 1 Qs-, n=1 " + ] ကျေ 18+

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Q: Find the number of positive integers not exceeding 100 that are either odd or the square of an…

A: The objective is to find the number of positive integers not exceeding that are either odd or the…

Q: Show A and Show B are two of the most popular television shows of all time. The number of episodes…

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Q: Find the sum of the first 20 positive even integers.

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Q: Show that 3 + V5 is irrational number

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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 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…