Question

How many distinct proper subsets are there of the set N = {1, 47}?

Answer 1

3

hope it helps you my friend

Answer 2

Answer:

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

The set N has 2 elements and so there are 2^2 or 4 subsets of N. Since one of the possible subsets of N is N itself ( {1, 47} is a subset of N) and N is not a proper subset of itself, we have that there are 3 proper subsets of N.

Therefore, number of distinct proper subsets present in the set N = {1, 47} are :

$\boxed{ {2}^{n} - 1} \\ Now \: as, \: n = 2\\ {2}^{2} - 1 = 4- 1 = \boxed3✓$

• 3 is the right answer.