How many ways can you make 1 pound with 50p 20p and10p coins?

Answer 1

To make 1 pound using 50p, 20p, and 10p coins, we can set up an equation: 50x + 20y + 10z = 100, where x, y, and z represent the number of each coin. We need to find all possible combinations of x, y, and z that satisfy this equation. This is a problem of Diophantine equations, specifically the Frobenius coin problem, which can be solved using techniques such as generating functions or linear Diophantine equations methods. The number of ways to make 1 pound with these coins would depend on the specific values of x, y, and z that satisfy the equation.