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

Answer: Option C

Solution(By Examveda Team)

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 ¹⁴C₄ ways. (The balls placed between every successive pair of walls belong to one group) ¹⁴C₄ = 1001 ways.