Questions
Three integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3 is
detailed solution
Correct option is A
The total number of ways of selecting 3 integers from 20 natural numbers is 20C3 = 1140. Their product is a multiple of 3 means at least one number is divisible by 3. The numbers which are divisible by 3 are 3, 6, 9, 12, 15, l8 and the number of ways of selectin g at least one of them is 6C1×14C2+6C2×14C1+6C3=776. Hence, the required probability is 776/1140 = 194/285.Talk to our academic expert!
Similar Questions
A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.
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