How to solve part (iv) Why is the solution as shown : 10-1+5 C 5 ??? Why 10 -1 +

Question

How to solve part (iv)

Why is the solution as shown : 10-1+5C5 ???
Why 10 -1 + 5 choose 5 ???

22 In how many ways can 5 books be distributed among 10 people, if the 5 books are distinct and no one gets more than one copy? (i) (ii) (ii) (iv) the 5 books are distinct and each person can get any number of books? the 5 books are identical and no one gets more than one copy? the 5 books are identical and each person can get any number of books? [Ci) 1°P5 30240; (i) 10 100000; (ii) 10Cs 252; (iv) 10-1+5Cs 2002

Explanation / Answer

The number of ways in which n identical objects can be distributed among r distinct people where it is possible for some people to get no objects at all is given by the formula

(n+r-1)C(r - 1) or (n+r-1)Cn

In the question, n = 5 and r = 10

Therefore, the answer is

(5+10-1)C4 or (5+10-1)C10

The given answer is incorrect.

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