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)?
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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.
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