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# 10 different books and 2 different pen are given to 3 boys so that each get equal no. of things.Probability that same boy doesn't receive both pens is__________ ans:8/11

147 Points
11 years ago

Dear shefali

probability of same boy doesn't receive both pens = 1 - probabilty of any  boy  receive both pens

since all the student recieves same number of article.so each one get (10+2)/3 =4

number of ways in which 10 books and 2 pen is distributed to 3 student is =12C4 8C4 4C4

now find the number of ways such that any boy recieve the both pen...

select one boy from 3 and give both pen to him in = 3C1 * 1 ways

rest two article can be given to this boy in = 10C2 ways

other 2 boys will get article in 8C4 *4C4 ways

so number of ways such that any boy recieve the both pen= 3C1 * 1*10C2 *8C4 *4C4

so required probability = 1- 3C1 * 1*10C2 *8C4 *4C4 / 12C4 8C4 4C4

=8/11

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