How many combinations are possible if 3 one rupee coin, 4 fifty paise coin and 2 twenty five paise

M4maths Previous Puzzles

09 Oct 2009 coins combination

How many combinations are possible if 3 one rupee coin, 4 fifty paise coin and 2 twenty five paise coin
are available. It is compulsory to select any one of the coin

OPtion

1) 23
2) 24
3) 9
4) 55
5) 60
6) 26
7) 12
8) 59
9) 6
10) 48

Solution

Out of 3 one rupee coin, total possible combinations are
0 one rupee coin, 1 one rupee coin,
2 one rupee coin, 3 one rupee coin,
Out of 4 fifty paise coin, total possible combinations are
0 fifty paise coin, 1 fifty paise coin, 2 fifty paise coin, 3 fifty paise coin, 4 fifty paise coin,
Similarly out of 2 twenty five paise coin, total possible combinations are
0 twenty five paise coin, 1 twenty five paise coin, 2 twenty five paise coin,
Therefore total number of methods = 4*5*3 – 1= 60-1 = 59
(1 case is deducted because in a case no coin is selected)

Correct Option: 8 Best Solution (0)