Handshake

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When ten persons shake hands with one another, in how many ways is it possible?
20
no
25
no
40
no
45
yes
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Each person’s performance compared with all other persons is to be done to rank them subjectively. How many comparisons are needed in total, if there are 11 persons?
1. 66
2. 55
3. 54
4. 45
66
no
55
yes
54
no
45
no
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In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played?
105
no
91
yes
85
no
78
no
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