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GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
08 Dec 2014, 06:26
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D
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If 11 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
A) 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
B) 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
C) 11 × 10
D) 55
E) 45
Source: Chili Hot GMAT
A) 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
B) 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
C) 11 × 10
D) 55
E) 45
Source: Chili Hot GMAT
08 Dec 2014, 06:29
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11C2 = 11*10/2 = 11*5 = 55
Ans - D
Ans - D
08 Dec 2014, 07:06
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If 11 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
A) 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
B) 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
C) 11 × 10
D) 55
E) 45
Total number of handshakes = \(C^{11}_{2}\)\(= \frac{11*10}{2}=55\)
Answer: D
A) 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
B) 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
C) 11 × 10
D) 55
E) 45
Total number of handshakes = \(C^{11}_{2}\)\(= \frac{11*10}{2}=55\)
Answer: D
