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 14 workers be divided into 3 groups in such a way that they get two, four and eight workers?Option: 1 <img alt="45045"

In how many ways can 14 workers be divided into 3 groups in such a way that they get two, four and eight workers?

Option: 1

45045


Option: 2

45040


Option: 3

168168


Option: 4

168160


Answers (1)

best_answer

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

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

Here  m=2, n=4, p=8

Then, the total number of ways: 

\frac{14 !}{2 ! 4 ! 8 !}=45045

Posted by

manish painkra

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

JEE Main 2026: Wider gap in NIT cut-offs for home and other-state quotas; outsiders need better rank
anam-khan

JEE Mains 2026: Use of calculator 'not allowed’ says NTA; cites ‘typographical error' in information bulletin
anam-khan

JEE Main 2026: NIT Warangal attracts best talent with high BTech cut-offs in top, emerging branches

Latest Question