Question

Find the number of even-numbered subsets that have only even numbers from the set (1,2,3,4,5,6...100)

I would greatly appreciate a quick answer

Answer 1

Explanation:

You could use the 'brute force' method, which would be to simply write out all the possible subsets. We could avoid repetition within the subsets.

{2} would be the first subset; it contains one even number.

Next would be {2, 4}, next {2, 4, 6} ... {2, 4, 6, ... 94, 96, 98, 100}. Provided that we correctly understand what this problem is asking for, writing out and then counting all these subsets should answer the question.