How can the whole nunmbers from 1 to 17 be placed into the 17 disks of the diagram here so that any three numbers on the same line through the center will give the same sum?

Q: Compute how many different ways there are to color the faces of a cube so that three faces are red,…

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Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

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 five-digit numbers can be formed from the digits 1, 2, 4,6,8,9& 0 if digit is repeated?

A: To make a 5 digit number 0 can not come at first. So for the first position there are 6 choices. And…

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: Assume that you are given 4 number, display card ,means you have 5 cards and each card having some…

A: Given there are 5 cards each having different number on them. Consider the two cards at a time are…

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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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 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be…

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Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: If 8 identical projectors are to be divided among 4 different schools how many divisions are…

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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 maybe repeated?

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

Q: How many pairs of ordered numbers exist such that sum , product and quotient are the same?

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Q: d 3?

A: for a 4 digit even number

Q: How many ways are there to list the digits 1,1,2,2,3,4,5 so that the digit 3 and 4 are not in…

A: Given Data: To find : How many ways are there to list the digits 1,1,2,2,3,4,5 so that the digit 3…

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 combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .