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? Choose the correct choice from the following answers:	A) 252	B) 250	C) 1001	D) 1089	E) None
Solution:   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.   Answer: Option 1001
<result>C</result>
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?