Let S={1,2,3,5,7,10,11}. The number of non-empty subsets of S that have the sum of all elements a multiple of 3, is _____ .

Question

Let S={1,2,3,5,7,10,11}. The number of non-empty subsets of S that have the sum of all elements a multiple of 3, is _____ .
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Solution 1

This problem can be solved by using the concept of Dynamic Programming. Here are the steps:

  1. First, we need to find the sum of all elements in the set S. The sum is 1+2+3+5+7+10+11 = 39.

  2. We need to create a 2D array dp[i][j], where i ranges from 0 to 7 (the number of elements in the set) and Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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