Question

A = {1, 2, 3, 4, 5 ,6 ,7} how many subsets of A INCLUDE {1, 3, 5} Write down all the sets ({})

Answer 1

total no of outcomes are '15'

outcomes are shown below.

Explanation:

A = {1, 2, 3, 4, 5 ,6 ,7}

subsets which will include {1, 3, 5}

hence, the outcome are :

{1,2,3,5}, {1,3,4,5}, {1,3,5,6}, {1,3,5,7}, {1,2,3,5,6},{1,2,3,5,7},{1,2,3,4,5}, {1,3,4,5,6}, {1,3,4,5,7}, {1,2,3,5,7},{1,2,3,5,6}, {1,3,5,6,7},{1,2,3,4,5,6},{1,2,3,4,5,7}, {1,2,3,4,5,6,7}

so the total no of outcomes are '15'