b) Find the sum of the GP: 12 16 . r=1 Question.4 (6+4=10) a) Solve the following Linear programming problem: Maximize Z = 27x, + 36%2 Subject to the constraints: 2x1 + x2 590, X + 2x, = 80. *1 20, b) A fair coin is tossed 4 times. Find the probability of getting: 1 . At least 2 heads 11. At best 2 heads Question.5 (6+4=10) a) A committee of two ladies and 3 gentlemen is to be formed from 8 ladies and 10 gentlemen. Find the number of possible selections if Mrs. X and Mr. Y refused to work in the same committee. b) Find the number of arrangements that can be made of the letters of the word "EQUATION", so that the consonants are not in consecutive positions