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Question

5C1+5C2+5C3+5C4+5C5 is equal to


A

30

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B

31

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C

32

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D

33

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Solution

The correct option is B

31


5C1+5C2+5C3+5C4+5C5=5C1+5C2+5C2+5C1+5C5=2×5C1+2×5C2+5C5=2×5+2×5!2!3!+1=10+20+1=31


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