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19 people (a1,a2,......,a19) are invited to a party. The host and the hostess shake hands with each invitee and also with each other. The invitees shake hands in a circular fashion, i.e. the pairs (a1, a2), (a2, a3),......,(a18, a19), (a19, a1) shake hands. So, in all there are 58 handshakes. Let S be a set of people such that every pair in S shake hands. The size of S is at most
O 2
O 3
O 1
O 4

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TCS Other Question

Let exp(m,n) = m to the power n. If exp(10,m) = n exp(2,2) where m = 2 and n are integers then n = . A man has some socks in his drawer - 18 identical blue, 24 identical red, and 22 identical black. The lights are out and it is totally dark. How many socks must he take out to make sure he has a pair of each colour?
O 32
O 48
O 42
O 34