Question

How many subsets are there of the set N = {1, 42, 65, 12, 31, 27}?

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{64}}}}}`

Explanation:

If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ

Given,

N = { 1 , 42 , 65 , 12 , 31 , 27 }

where n ( total number of elements ) = 6

So, the number of possible subsets of set N :

= 2ⁿ

= 2⁶

= 2 × 2 × 2 × 2 × 2 × 2

= 64

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