(Q). How many different sums can be formed with the following coins:⟶ one 1 ruupee, one 50 paise, one 25 paise, one 10 paise & one 5 paise coins?
Solution:-
Method (1).
Every coin has 2 ways of selection:⟶ either selected or not selected
= 2⁵ – 1
= 31 Answer
Method(2):
Number of different sums = ⁵C₁ + ⁵C₂ + ⁵C₃ + ⁵C₄ + ⁵C₅
= 5 + 10 + 10 + 5 + 1
= 31 Answer