How many distinct proper subsets are there of the set N = {10, 50, 63, 15, 40, 55}?

Question

asked Feb 7, 2021 21.4k views

1 Answer

Patrice Neff · Answer 1 · 2021-02-10T23:28:23+0000

Answer:

$Proper\ Subset = 63$

Explanation:

Given

$N = \{10, 50, 63, 15, 40, 55\}$

Required

Determine the proper subsets

This is calculated by:

$Proper\ Subset = 2^n - 1$

Where n is the number of elements in the set.

In this case,

n = 6

So:

$Proper\ Subset = 2^n - 1$

$Proper\ Subset = 2^6 - 1$

$Proper\ Subset = 64- 1$

$Proper\ Subset = 63$