Latest UPSC Aptitude Question SOLUTION: A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time)? [UPSC 2009(CS-P)] a) 1

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A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time)? [UPSC 2009(CS-P)]
a) 16
b) 15
c) 12
d) 11

Asked In UPSC MAN (10 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

sanjay  (8 years ago)

through an example
suppose we take coin of denomination 1,2,5,10
by taking these
first we take 4 diffrent
then 1+2 =3, 1+5=6;1+10=11
then 2+5=7; 2+10=12
then 5+10=15
then take three coin
1+2+5=8; 1+2+10=13;2+5+10=17;1+5+10=16
then 1+2+5+10=18
total diffrent sums are 15

Is this solution Helpfull? Yes (2) | No (1)  

Titas Biswas  (8 years ago)

Manually,answer is coming to 15 but what is the way to do this? Using factorials or something similar?

Is this solution Helpfull? Yes (1) | No   

prasanthi  (6 years ago)

4c1+4c2+4c3+4c4=15

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