If a person has 3 coins of different denominations, the number of different sums can be formed is

Step-by-step solution

Given that person has 3 coins of different denominations, Selecting 1 coin out of 3 coins gives C 1 3 ways. Selecting 2 coin out of 3 coins gives C 2 3 ways. Selecting 3 coin out of 3 coins gives C 3 3 ways. Total number of different sums of money that can person form is C 1 3 + C 2 3 + C 3 3 = 3 + 3 + 1 = 7   ways