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  1. If ten friends shake hands mutually, then the total number of hand shakes is
    1. 45
    2. 50
    3. 90
    4. 100
Correct Option: A

It is to be noted that when two persons shake hands it is counted as one hand shake not two. So this is a problem on combination. The total number of hand shakes is
= The number of ways of selecting 2 persons out of 10 persons

= 10C2 =
10 × 9
= 45
1 × 2



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