UPSC Government Jobs Exams Category

A man has 7 relatives , 4 of them are ladies and 3 gentlemen , his wife has 7 relatives and 3 of them are ladies and 4 gentlemen . In how many ways can they invite a dinner party of 3 ladies & 3 gentlemen so that there are 3 of man’s relatives and 3 of wife’s relatives?

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UPSC Other Question
An old man has Rs (1! + 2! + 3! + ...+ 50!), all
of which he wants to divide equally (without
fractions) among his n children. Then, n may be
(a) 5 (b) 7
(c) 9 (d) 11 Find the total number of ways if six (+) and four (-) are to be placed in a straight line so that no two (- )signs come together?