Question

How many ways are there to make 50 cents in change using only pennies,
nickels, dimes, and quarters?

1. The many permutations of the amount of change that may be obtained by solely utilizing pennies, nickels, dimes, and quarters
(50 pennies45 cents, 1 nickel40 pennies, 2 nickels40 pennies, 1 dime35 penny, 3 nickels35 pennies, 1 nickel,…)
In all, there are 48 of them. This is further explained below.

What are pennies?

Generally, The cent is the name given to the coin that is worth one cent in the United States. It is also often referred to as the “penny.” One cent is equivalent to one-hundredth of a United States dollar. Since the removal of the half-cent in 1857, it has held the position as the United States currency unit with the smallest value printed on its face.
In conclusion, The different ways that  50 cents in change using only pennies, nickels, dimes, and quarters are
(50 pennies45 pennies, 1 nickel40 pennies, 2 nickels40 pennies, 1 dime35 penny, 3 nickels35 pennies, 1 nickel,…)
They are 48 in total