At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?

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Question: At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?
[A].

20

[B].

45

[C].

55

[D].

90

Answer: Option B

Explanation:

Clearly, total number of handshakes = (9+ 8 + 7 + 6 + 5 + 4 + 3 + 2+1) = 45.