Permutation-Combination
Aptitude

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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

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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 $^{10}C_5=252$