Question

The number of different sums can be formed with the following coins a rupee a fifty paise a twenty five paise a ten paise a five paise?

Answer 1

There are 5 coins
we can select any number at a time
case 1:
if one coin is selected
then the number of wats=5C1=5
case2:
2 coin selected at a time
no of ways of selecting 2 from 5=5C2=10
case 3
3 at a time
no of Ways=5C3=10
4 at a time
5C4=5
all the 5 at a time
=1
so total possibility is the sum of possibilities in each case
=5+10+10+5+1=31