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The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman, is...For r = 0, 1, ....., 10, let Ar, Br and Cr denote, respectively, the coefficient of xr in the expansions of (1 + x)10, (...If a1, a2, ......., a2n+1 are in G.P., then is equal to (where each ai > 0) -...The value of b for which the equations x2 + bx + 1 = 0, x2 + x + b = 0 have one root in common is :-...If f(a + b - x) = f(x), then x f(x) dx is equal to...