Home
Class 12
MATHS
From 6 different novels and 3 different ...

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

Text Solution

Verified by Experts

novel=`.^6C_4`
dietenary= `.^3C_1`
total choose=`.^6C_4 .^3C_1`
`- - D - - = 4!`
total arrangement=`.^6C_4 .^3C_1* 4!`
`= (6!)/(4!2!)*3*4!`
`= 1080`
option 4 is correct
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|4 Videos

  • PROBABILITY

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|11 Videos

Similar Questions

Explore conceptually related problems

In how many ways 4 different white balls and 6 different black balls be arranged in a row that no two white balls are together ?

There are 5 red , 4 white and 3 blue marbles in a bag. They are drawn one by one and arranged in a row . Assuming that all the 12 marbles are drawn , determine the number of different arrangements.

The number of ways in which 4 different red balls and 8 similar green balls can be arranged in a row so that at most 3 red balls are together is equal to

In how many ways 6 students and 4 teachers be arranged in a row so that no two teachers are together ?

The digits, from 0 to 9 are written on 10 slips of paper (one digit on each slip) and placed in a box. If three of the slips are drawn and arranged, then the number of possible different arrangements is

There are 3 white, 4 red and 1 blue marbles in a bag. They are drawn one by one and arranged in a row. Assuming that all the 8 marbles are drawn, determine the number of different arrangements if marbles of same colour are indistinguishable.

There are 3 copies each of 4 different books. Find the number of ways of arranging them on a shelf.

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is

Number of ways of arranging 4 boys and 3 girls so that no boy is in between any two girls

There are 2 identical white balls, 3 identical red balls, and 4 green balls of different shades. Find the number of ways in which they can be arranged in a row so that atleast one ball is separated from the balls of the same color.