Find-the-number-m-of-ways-to-partition-10-students-into-four-team-so-that-two-team-contains-3-students-and-two-team-contains-2-students-

Question Number 116883 by bemath last updated on 07/Oct/20

Find the number m of ways to

partition 10 students into four team

so that two team contains 3 students

and two team contains 2 students .

Answered by john santu last updated on 07/Oct/20

T h e r e a r e m^{'} = \frac{10!}{3! . 3! . 2! . 2!} = 25, 200 s u c h o r d e r e d p a r t i t i o n

S i n c e t h e t e a m s f o r m a n u n o r d e r e d p a r t i t i o n

w e d i v i d e m^{'} b y 2! b e c a u s e o f t h e t w o

c e l l s w i t h 3 e l e m e n t s e a c h a n d 2!

b e c a u s e o f t h e t w o c e l l s w i t h 2 e l e m e n t s e a c h

T h u s m = \frac{25, 200}{2! . 2!} = 6300

Commented by bemath last updated on 07/Oct/20

yes i got the same answer

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