If A = {1, 2, 3, 4, ……19, 20}, how many subsets of A are possible such that the product of all the elements of the subset is even?

Question

If A = {1, 2, 3, 4, ……19, 20}, how many subsets of A are possible such that the product of all the elements of the subset is even?
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Solution 1

The problem is asking for the number of subsets of set A where the product of all elements in the subset is even.

A product is even if at least one of its factors is even. Therefore, we need to find subsets that contain at least one even number.

In set A, there are 10 even numbers (2, 4, 6, ..., Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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