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In a society it is customary for friends of the same sex to hug and for friends of opposite sex to shake hands when they meet. A group of friends met in a party and there were 24 handshakes.
Which one among the following numbers indicates the possible number of hugs?
39
30
21
20
Here factorize 24 which is 6x4
now if 6 are boys and 4 girls
then total handshakes among boys and girls = 6x4=24
Boys will hug among themselves = 5+4+3+2+1=15
Girls will hug among themselves = 3+2+1=6
∴Total hug = 15+6=21 ways
By: Amit Kumar ProfileResourcesReport error
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