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The numbers 1,2,3,.., n are arranged in ...

The numbers 1,2,3,.., n are arranged in a random order. The probability that the digits `1,2,3,..,k(n gt k)` appears as neighbours in that order is
a. `((n-k)!)/(n!)`
b. `((n-k+1)!)/(.n!)`
c. `(n-k)/(,^nC_k)`
c. `(k!)/(n!)`

A

`((n-k)!)/(n!)`

B

`((n-k+1)!)/(.^nC_k)`

C

`(n-k)/(,^nC_k)`

D

`(k!)/(n!)`

Text Solution

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The correct Answer is:
(b)
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