A bag cotains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is -

A bag cotains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is - Correct Answer 2/91

Given, white = 4 Red = 5 Blue = 6 Total = 15 The probability that all of them are red = C35C315 = 5!3!(5 - 3)!15!3!(15 - 3)! = 5!3!2!3!12! = 5×4×3!2×3!15×14×13×12!3×2×12! = 10455 = 291
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