Question

How many distinct proper subsets are there of the set N = {10, 47, 66, 12, 35}?

Answer 1

Answer:

31 subsets are there.plese mark me as brainlist

Answer 2

Answer:

There are 2^n subsets in a set where “n” is the number of elements.

The set N has 5 elements and so there are 2^5 or 32 subsets of N. Since one of the possible subsets of N is N itself ( {10, 47, 66, 12, 35} is a subset of N) and N is not a proper subset of itself, we have that there are 31 proper subsets of N.

Therefore, number of distinct proper subsets present in the set N = {10, 47, 66, 12, 35} are :

$\boxed{ {2}^{n} - 1} \\ Now \: as, \: n = 5 \\ {2}^{5} - 1 = 32 - 1 = \boxed{31}✓$

• 31 is the right answer.