Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • In how many ways can 20 singers of a gang be divided into 3 groups in such a way that they get five, seven and eight singers?Option: 1 <img

In how many ways can 20 singers of a gang be divided into 3 groups in such a way that they get five, seven and eight singers?

Option: 1

38798760


Option: 2

239028075


Option: 3

2549632800


Option: 4

99768240


Answers (1)

best_answer

Number of ways of dividing  \left.(m+n+p)(where \, \, m \neq n \neq p\right) things into three unequal

groups of size m,n,p is =\frac{(m+n+p) !}{m ! n ! p !}

Here m=5, n=7, p=8

Then, the total number of ways:

\frac{20 !}{5 ! 7 ! 8 !}=99768240

Posted by

Ritika Jonwal

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Amrita BTech Admission 2025: JEE Main-based registration deadline extended to August 30

Latest Question