# Moderate Permutation-Combination Solved QuestionAptitude Discussion

 Q. I have an amount of Rs 10 lakh, which I went to invest in stocks of some companies. I always invest only amounts that are multiples of Rs 1 lakh in the stock of any company. If I can choose from among the stocks of five different companies, In how many ways can I invest the entire amount that I have?
 ✖ A. 252 ✖ B. 250 ✔ C. 1001 ✖ D. 1089

Solution:
Option(C) is correct

The situation is similar to placing 10 identical balls among 5 distinguishable boxes, where a box may have zero or more balls in it.

This case can be represented as arranging ten balls and $(5-1)$ four walls in the single row, which can be done in ${^{14}C_4}$ ways.

(The balls placed between every successive pair of walls belong to one group)

${^{14}C_4}= \textbf{1001 ways.}$

## (1) Comment(s)

Shri
()

the correct answer shud be 252 ...... as $^{10}C_5=252$