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N=9+X+Y-Z, X,Y,Z(- 0-9

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TCS Other Question

Find the number of ordered triplets (a, b, c)
of positive integers for which LCM (a, b)
=1000, LCM (b, c) = 2000 and LCM (c, a) =
2000.
60
40
80
50
70
Out of 7 childrens, the youngest one is boy, what is the probability of the remaining 6 are also boy?