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Question

It was Karen's first day at school ,The teacher suggested that it would be a good idea for each child to meet every other child in the class. The teacher said "When you meet please shake hands and introduce yourself by name " If there were 8 children in the class how many total handshakes were there ?

A
8
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B
28
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C
16
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D
24
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Solution

The correct option is A 8
The class has 8 children The first child shakes hands with the other 7 children The second child has already shaken hands with the first child and so has to shake hands with only the other 6 children In this manner the second last child has to shake hands with only one child and the last child has already met all the children Thus the number of handshakes is 7 + 6 + ........+ 2 + 1 = 28 If there were 8 children in the class then there were 28 total handshakes

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