This set is so odd

A set S = { 1 , 3 , 5 , 7 , , 199 } S=\{1,3,5,7,\ldots, 199\} contains 100 numbers.

How many ways are there to choose any 3 distinct numbers from the set such that there sum is divisible by 2.

4 0 3 2 1

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1 solution

Ravneet Singh
Dec 8, 2015

since every element of the set is an odd number and sum of three odd numbers is always odd.....hence there is no way to choose 3 numbers such that there sum is divisible by 2

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