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BECE Mathematics 2015 Paper

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Question : 2

Total: 40

Given that set

P=\{m,n,o,p\}

, find the number of subsets of

P

4
8
10
16

Solution:

Concept:

The number of subsets of a set with

n

elements is given by

2^n

.

Explanation:

The set

P

has elements

m, n, o, p

.

So, the number of elements is

n = 4

.

Using the formula, number of subsets

= 2^4

.

2^4 = 2 \times 2 \times 2 \times 2 = 16

.

Thus, the set

P

has 16 subsets.

Answer:

The number of subsets of

P

is

16

.

So, the correct option is D. 16.

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