Aptitude 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)

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

**Shri**

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