Question

A person has 4 coins each of different denomination. what is the number ofdifferent sums of money the person can form (using one or more coins at a time)?

Answer 1

44444444444444444444

Answer 2

Answer:

The number of different sums of money the person can form - 15

Step-by-step explanation:

To select 1 coin out of 4 coins:   ⁴C₁ = 4 Different sums  possible

Selecting 2 coins out of 4 coins:  ⁴C₂ = 6 different sums  possible

Selecting 3 coins out of 4 coins: ⁴C₃ = 4 different sums  possible

Selection 4 coins out of 4 coins: ⁴C₄ =1 sum  possible

Hence total number of different sums are  : 4 + 6 + 4 + 1 =  15

Please note:- There is a possibility that sums produced by 1 set overlap with sum produced by 2nd set. To determine that exact overlap actual denominations are required which is missing in question.