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JAMB Mathematics 2024 Paper

Question : 31

Total: 50

How many proper and improper subsets are there in the set K = { a, b, c, d, e}?

Solution:

Concept:

For a set with

n

elements, the total number of subsets, including both proper and improper subsets, is

2^n

Explanation:

The set

K = \{a, b, c, d, e\}

has

n = 5

elements.

Total number of subsets

= 2^5 = 32

Out of these,

31

are proper subsets and

1

is the improper subset, which is the set itself.

So, the total number of proper and improper subsets is

32

Answer:

C. 32

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