The total number of donations which can be
given from 5 one rupee coins and 4 fifty paise
coins, is (at least one coin must be donated)-
(A) 19
(B) 29
(C) 30
(D) 20
Answers
There are 29 Numbers of donations which can be given from 5 one rupee coins and 4 fifty paise coins,
Step-by-step explanation:
5 one rupee coins and 4 fifty paise coins
Minimum Donation = 50 Paise = 0.5 Rs
Maximum Donation = 5 * 1 + 4 * (0.5)
= 7 Rs
Number of possible Donation = 0.5 , 1 , 1.5 , 2 , 2.5 , 3 , 3.5 , 4 , 4.5 , 5 , 5.5 , 6 , 6.5 , 7
14 Possible Donations in terms of Unique Amount
Possible in terms of Coins = 29
5 * 4 + 5 + 4 = 29 Ways
or Rs 1 con can be selected in 6 ways from 0 to 6
Fifty Paisa coin can be selected in 5 ways from 0 to 4
number of Ways = 6 * 5 = 30
but it has one combination with 0 Rs 1 coin & 0 fifty paisa coin which need to be subtracted
=
Below are the cases
Rs Coin Fifty Paisa Coins Amount
0 1 0.5
0 2 1
0 3 1.5
0 4 2
1 0 1
1 1 1.5
1 2 2
1 3 2.5
1 4 3
2 0 2
2 1 2.5
2 2 3
2 3 3.5
2 4 4
3 0 3
3 1 3.5
3 2 4
3 3 4.5
3 4 5
4 0 4
4 1 4.5
4 2 5
4 3 5.5
4 4 6
5 0 5
5 1 5.5
5 2 6
5 3 6.5
5 4 7
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