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Question

If there are 11 players in a cricket team all of whom shake hands with each other, how many hand-shakes take place in the team?

A
36
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B
55
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C
66
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D
none of these
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Solution

The correct option is B 55
One hand-shake requires two different persons.
Numbers of hand-shakes
= numbers of ways of selecting two persons out of 11 persons
=11C2=55

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