how many ways can 9 peoples be assigned to 2-triple, 1-double and 1-single room?

Answered question

2021-09-30

how many ways can 9 peoples be assigned to 2-triple, 1-double and 1-single room?

 

Answer & Explanation

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-11Added 2605 answers

First select 3 students for a triple room in C39 ways . Then select two student among remaining 6 for first double room in C26 ways and apply same for second and third double room by  C24 ways and C22 ways. 

so required ways  are C39C26C24C22 ways

=(9!6!3!)(6!4!2!)(4!2!2!)(2!2!0!)

=841561

=7560

so, Total ways are 7560

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