Permutations And Combinations Question 147

Question: The number of ways in which thirty five apples can be distributed among 3 boys so that each can have any number of apples, is

Options:

A) 1332

B) 666

C) 333

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • The required number $ {{=}^{3+35-1}}{C _{3-1}}{{=}^{37}}C_2=666 $ Aliter: The required number = coefficient of $ x^{35} $ in $ {{(1+x+x^{2}+……+x^{35})}^{3}} $ .

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