Question

if n(a)=8 then the number of subsets of a which contains at least 3 elements​

Answer 1

Answer:

2power3 is the subset of 8

Answer 2

Given: n(a)= 8

To find: number of subsets of a which contains at least 3 elements

Solution: Given the total number of elements= 8

The total number of subsets of a will be 2^8

Number of subsets having no elements= 1 that is a subset containing fi

Number of subsets containing one element= 8C1

Number of subsets containing two elements= 8C2The number of subsets containing at least three elements will be = 2^8-(1+8C1+8C2)= 256-37= 219

Therefore, several subsets of a which contains at least 3 elements will be 219.