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Q.

Number of ways of selecting 5 coins from coins three each of Rs. 1, Rs. 2 and Rs. 5 if coins of the same denomination are alike, is:


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a

9

b

12

c

21

d

None 

answer is A.

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Detailed Solution

We have to select 5 coins
Coins we have of Rs. 1, Rs. 2 and Rs. 5 Now ways
First case- 3 coins= 1 Rs.,
   (i) 2 Rs coins =2
   (ii) 2 Rs coin =1 and Rs 5 coin =1
   (iii) 5 Rs coins =2
Second case-3 coins =2 Rs.,
   (i) 1 Rs. coins= 2
   (ii) 1 Rs coin =1, Rs 5 coin=1
   (iii) 5 Rs coins =2
Third case-3 coins = 5 Rs.
 (i) 1 Rs. coins= 2
 (ii) 2 Rs. coins =2   (iii) 1 Rs coin =1, 2 Rs. coin =1
Hence, total number of ways  =3+3+3
=9
Correct option is 1.
 
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