There are 11 distinct books on a shelf,consis | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) We have $5$ Mathematics,$4$ Physics,and $2$ Chemistry books. Since books of the same subject must be kept together,we treat each subject group as

Vedclass · Accepted Answer

$3! 	imes 5! 	imes 4! 	imes 2!$

Vedclass · Answer

(A) We have $5$ Mathematics,$4$ Physics,and $2$ Chemistry books. Since books of the same subject must be kept together,we treat each subject group as a single unit. There are $3$ such units (Mathematics group,Physics group,and Chemistry group),which can be arranged among themselves in $3!$ ways. Within their respective groups,the $5$ Mathematics books can be arranged in $5!$ ways,the $4$ Physics books in $4!$ ways,and the $2$ Chemistry books in $2!$ ways. Therefore,the total number of arrangements is $3! 	imes 5! 	imes 4! 	imes 2!$.

There are $11$ distinct books on a shelf,consisting of $5$ Mathematics,$4$ Physics,and $2$ Chemistry books. In how many ways can they be arranged such that books of the same subject are always kept together?

Similar Questions

How many numbers less than $1000$ can be formed using the digits $1, 2, 3, 4, 5, 6$ if repetition is not allowed?

If $^n{P_5} = 9 \times {^{n - 1}}{P_4}$,then the value of $n$ is

The total number of words (with or without meaning) that can be formed out of the letters of the word $'DISTRIBUTION'$ taken four at a time,is equal to...............

All the letters of the word $MOTHER$ are arranged in all possible ways and the resulting words (may or may not have meaning) are arranged as in the dictionary. The number of words that appear after the word $MOTHER$ is

The number of integers,greater than $7000$,that can be formed using the digits $3, 5, 6, 7, 8$ without repetition is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module