Questions
The numbers 1,2,3, ..., n are arrange in a random order. The probability that the digits 1, 2, 3, . . ., k (k < n) appear as neighbors in that order is
detailed solution
Correct option is D
The number of ways of arranging n numbers is n! In each order obtained, we must now arrange the digits 1, 2, ..., k as group and the n - k remaining digits. This can be done in (n - k + l)! ways. Therefore, the probability for the required event isn-k+1!n!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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