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the citizen of a planet are 6 fingered and have developed a number system in base 6.a certain street in the planet contains 100 building numbered from 1 to 100. how many 4's are used in numbering these buildings?express in base 10.

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There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?
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