How many different collections of 3 coins can be formed if the coins can be pennies, nickels, dimes, quarters or half dollars?
Answers
Answered by
0
So
p + 5n + 10d + 25q + 50 hd = 100
If we evaluate the equation (mod 5) we get
p = 0 (mod 5)
i.e. p = 0, 5, 10, 15, ... but since we can only have 19 coins, there is at most 15 pennies
Therefore, p = 0, 5, 10, or 15. i.e. p = 5k where k = 0,1,2,3
p + 5n + 10d + 25q + 50 hd = 100
If we evaluate the equation (mod 5) we get
p = 0 (mod 5)
i.e. p = 0, 5, 10, 15, ... but since we can only have 19 coins, there is at most 15 pennies
Therefore, p = 0, 5, 10, or 15. i.e. p = 5k where k = 0,1,2,3
Similar questions