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how many 7 digit numbers can be formed using the digits 1,2,3,4,5 (but without repetition), that are divisible by 4?

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1, 2, 4, 10, 16, 40, 64,
45 people (a1,a2...,a45) meet and shake hands in circular fashion. In other words there are totally 45 handshakes involving the pairs (a1,a2),(a2,a3)...,(a44,a45),(a45,a1). Then the size of the smallest set of people such that the rest have shaken hands with atleast one person in the set is