JEE Advanced Mathematics question
10 different books and 2 different pens are given to 3 boys so that each gets equal number of things. The probability that the same boy does not receive both the pens is
Answer: (D)
Solution
There are 12 things and each boy gets 4:
n(S) = {}^{12}·{}^{8}·{}^{4} = 495·70·1 = 34650 .
Count the distributions in which **one** boy gets both pens:
- choose that boy: 3 ways (not ); - give him both pens and 2 of the 10 books: ; - give the other 8 books 4 each to the
See the full step-by-step solution
Create a free account to read the complete working (9 steps), and practise questions like this in a timed test.
Create a free account