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BECE Mathematics 2016 Paper

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Question : 2

Total: 40

Given that

M = \{a, b, c\}

find the number of subsets of

M

3
4
6
8

Solution:

Concept:

A set with

n

elements has exactly

2^n

subsets.

Explanation:

Given

M = \{a, b, c\}

, the number of elements is

n = 3

.

So the number of subsets is

2^3 = 2 \times 2 \times 2 = 8

.

These include the empty set and the set itself along with all other possible combinations.

Answer:

D. 8

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