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Question

Question: Let \(S = \{ 0,1,5,4,7 \}\). Then the total number of subsets of S is...

Let S={0,1,5,4,7}S = \{ 0,1,5,4,7 \}. Then the total number of subsets of S is

A

64

B

32

C

40

D

20

Answer

32

Explanation

Solution

S={0,1,5,4,7}S = \{ 0,1,5,4,7 \} , then, total number of subsets of S is 2n2 ^ { n }.

Hence, 25=322 ^ { 5 } = 32 .