Latest self Aptitude Question SOLUTION: What is the probability that 6 favorite songs will be played together out of 30 songs, if all 30 are listened to?

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(#M40030493) SELF question self Keep an EYE

What is the probability that 6 favorite songs will be played together out of 30 songs, if all 30 are listened to?

Prabhat Yadav (10 years ago)

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Mahesh  (10 years ago)

If all the favorite songs are to be played as a group there are a total of 24 (other songs) plus 1(favorite songs group), so these 25 items can be arranged in 25! ways
The 6 favorite songs can be arranged in 6! ways, so a total of 25! * 6! ways
All he songs can be arranged in 30! ways

Required probability is 26! * 6! / 30! = /1827

Answer is 2/1827

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rakesh  (10 years ago)

6factorial/30factorial

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