Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.9k views
in Mathematics by (94.5k points)
closed by
Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

1 Answer

+1 vote
by (97.4k points)
selected by
 
Best answer
Correct Answer - `(22!)/(3!2!5!(4!)^(3))`
First divide 22 books into 5 groups of the size 5,5,4,4,4.
The number of ways is `(22!)/(3!2!(5!)^(2)(4!)^(3))`
Now, number of ways of distribution of these groups among 5 students is 5! Then total number of ways of distribution is
`(22!)/(3!2!(5!)^(2)(4!)^(3))xx5!=(22!)/(3!2!5!(4!)^(3))`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...