0 0 votes A box contains 100 balls of different colours : 28 red, 17 blue, 21 green, 10 white, 12 yellow, 12 black. The smallest number such that any balls drawn from the box will contain at least 15 balls of the same colour, is (A) 73; (B) 77; (C) 81; (D) 85. Unknown Category numerical-answers + – . 1.2k views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
Best answer 0 0 votes It is possible to get 15 balls of same color with only red, blue or green ones. If you want to be completely sure then, at first you might pull out 10 whites, 12 yellows and 12 blacks. Then, you might pull 14 balls of one remaining color and 14 balls of other. And at last you'd pull 15 balls of one same color. This gives us: 10 + 12 + 12 + 14 + 14 + 15 = 77 . answered Jul 18, 2016 . comment Share Follow 0 reply Please log in or register to add a comment.
0 0 votes Maximum number of n for which 15 balls of the same color is not possible = 14 + 14 + 14 + 10+12+12 = 76 Required number = 76+1 = 77 sudhanshu_bng answered Jul 20, 2016 sudhanshu_bng comment Share Follow 0 reply Please log in or register to add a comment.
