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A contest consists of ranking 10 songs o...

A contest consists of ranking `10` songs of which `6` are Indian classic and `4` are westorn songs. Number of ways of ranking so that (mention correct statements)

A

There are exactly `3` indian classic songs in top `5` is `(5!)^(3)`.

B

Top rank goes to Indian classic song is `6(9!)`

C

The ranks of all western songs are consecutive is `4!7!`

D

The `6` Indian classic songs are in a specified order is `"^(10)P_(4)`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`(a,b,c,d)`
`(a) ^(6)C_(3)^(4)C_(2)5!5! =(5!)^(3)`
`(b) ^(6)C_(1)9!`
`(c ) (6+1)!4!`
`(d) ^(10)P_(4)`
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