Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

S = {1, 2, 3, ... , 20} is to be partitioned into four sets A, B, C and D of equal size. The number of ways it can be done, is equal to?

S = {1, 2, 3, … , 20} is to be partitioned into four sets A, B, C and D of equal size. The number of ways it can be done is

1) 20!/(4!x5!)

2) 20!/45

3) 20!/(5!)4

4) 20!/(4!)5

Answer: (3) 20!/(5!)4

Solution: Given,S = {1, 2, 3, … , 20}

To be partitioned in A, B, C and D

That means each part will have 5 numbers.

Therefore, number of ways it can be partitioned = 20C5 × 15C5 × 10C5 × 5C5

= 20!/(5!)4

Was this answer helpful?

 
   

2.5 (1)

(1)
(0)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published.

*

*

Ask
Question