Query: A committee consists of 6 men and 4 women. A sub-committee of 4 members is to be formed at random. Find the probability that the sub-committee contains at least 1 member of each sex?
Query: An arithmetic progression has its first, second and fourth terms as consecutive terms of a geometric progression. Show that the first term of the arithmetic progression is equal to the common difference.
Query: A sector of a circle radius r subtends an angle of theta at the centre. The perimeter of the sector is 3m and the area is A sq.m. Show that A=0.5r(3-2r).
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