0

Guest

Courses New

There are two works each of 3 volumes and two works each of 2 volumes;In how many ways can the 10 books be placed on a shelf so that the volumes of the same work are not separated?

  1. There are two works each of 3 volumes and two works each of 2 volumes;In how many ways can the 10 books be placed on a shelf so that the volumes of the same work are not separated? 

Grade:11

2 Answers

srikar
40 Points
9 years ago
Let’s name the works  A, B, C, D
       A-------> 1st work of 3 volumes
       B-------> 2nd work of 3 volumes
       C-------->1st work of 2 volumes
       D-------->2nd work of 2 volumes
    
        in A, we can arrange 3 volumes in 3! ways similarly B
        in C and D we can arrange them in 2! ways 
 
A,B,C,D can be arranged in 4! ways
=====> total = 4!(3! + 3! + 2! + 2! ) = 24 (16) = 384 ways
Anon
13 Points
5 years ago
In the last step you should multiply to give all the possible ways of the same works are never separated.
4!×3!×3!×2!×2!= 3456
 

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More