At the end of a banquet 10 people shake hands with each other. How many handshakes will there be in total?

D. 50
C. 45
B. 20
A. 100

• ans c 45
  because 1 person shakes hand with 9 other people
  2nd person shakes hand with 8 people (he cannot shake hand with himself and 1st person has already shaked hand with him so he will not shake hand with first person)similarly it will go on
  result 9+8+7+6+5+4+3+2+1=45
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• for hand shake 2 people required
  so required handshake will be 10c2=45
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• 10C2 = 10*9/2=45
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