From 6 different novels and 3 different dicti | vedclass

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

Question

(C) Step $1$: Select $4$ novels from $6$ different novels. This can be done in $^6C_4$ ways.$^6C_4 = \frac{6 	imes 5}{2 	imes 1} = 15$ ways.Step $2$

Vedclass · Accepted Answer

atleast $1000$

Vedclass · Answer

(C) Step $1$: Select $4$ novels from $6$ different novels. This can be done in $^6C_4$ ways.$^6C_4 = \frac{6 	imes 5}{2 	imes 1} = 15$ ways.Step $2$: Select $1$ dictionary from $3$ different dictionaries. This can be done in $^3C_1$ ways.$^3C_1 = 3$ ways.Step $3$: Arrange the $4$ selected novels and $1$ dictionary in a row such that the dictionary is always in the middle. Since the dictionary is fixed in the middle,we only need to arrange the $4$ novels in the remaining $4$ positions.Number of ways to arrange $4$ novels = $4! = 4 	imes 3 	imes 2 	imes 1 = 24$.Step $4$: Total number of arrangements = (Ways to select novels) $	imes$ (Ways to select dictionary) $	imes$ (Ways to arrange novels) = $15 	imes 3 	imes 24 = 1080$.

From $6$ different novels and $3$ different dictionaries,$4$ novels and $1$ dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :

Similar Questions

How many three-digit numbers can be formed from the digits $2, 3, 5, 6, 7,$ and $9$ which are divisible by $5$,given that no digit is repeated?

We are to form different words with the letters of the word $INTEGER$. Let $m_1$ be the number of words in which $I$ and $N$ are never together and $m_2$ be the number of words which begin with $I$ and end with $R$,then $m_1/m_2$ is equal to

The number of $6$-digit numbers that can be formed using the digits $0, 1, 2, 5, 7,$ and $9$ which are divisible by $11$ and no digit is repeated,is

If the number of $5$-element subsets of the set $A = \{a_1, a_2, \dots, a_{20}\}$ of $20$ distinct elements is $k$ times the number of $5$-element subsets containing $a_4$,then $k$ is

The sum of the digits in the unit place of all numbers formed with the help of $3, 4, 5, 6$ taken all at a time is

Vedclass Test Series

Exam Paper Generator

Online Exam Module