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Any 2 girls.

Four girls and five boys are to sit in a line. Find the number of permutations if: a) 2 girls (only 2, not 3 nor 2 pairs) sit together. b) 3 girls (only 3, not 4) sit together.

1. The acceleration of a body moving along the x-axis is given by d(v2/2)/dx = -x for x < or = 1 and = 2-x for x>1 a) Show that the quantity 1/2 (dx/dt)2 + f(x) is a constant of motion, where...

1. In how many ways can a boat crew of eight women be arranged if three of the women can only row on the bow side and two others can only row on the stroke side? 2. In Morse code, letters are formed by a sequence of dashes and dots. How many different letters it it possible to represent if a...