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.Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
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