You are given infinite coins of denominations 1, 3, 4. What is the total number

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You are given infinite coins of denominations 1, 3, 4. What is the total number of ways in which a sum of 7 can be achieved using these coins if the order of the coins is not important?

Options:

A . 4

B . 3

C . 5

D . 6

Answer: Option C

A sum of 7 can be achieved in the following ways:
{1,1,1,1,1,1,1}, {1,1,1,1,3}, {1,3,3}, {1,1,1,4}, {3,4}.
Therefore, the sum can be achieved in 5 ways.

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