How many different ways can u make change for 75 cents using quarters, nickels and dimes?

I will give you some examples

7 dimes, one Nickel
6 dimes, three nickels
You take it from here.

Change OF 75 cents or change from a dollar (25 cents)?

In either case, I suggest you make a list instead of trying to derive a formula, or plugging into one we derive for you.

When you start making the list, perhaps a formula to use will become obvious.

To find out how many different ways you can make change for 75 cents using quarters, nickels, and dimes, you can use a systematic approach called dynamic programming. Here's how you can do it:

1. Start by creating an array of values from 0 to 75 to represent the different amounts of change.

2. Initialize the array with all zeros, except for the first element, which is set to 1. This represents the base case where there is only one way to make zero cents (i.e., not giving any change).

3. Iterate through each coin denomination (quarters, dimes, and nickels) in a loop.

4. For each coin denomination, iterate through each value from the current coin value up to 75.

5. Update the value at the current index by adding the value at the current index minus the current coin value. In other words, you are considering the ways to make change without using the current coin denomination and adding it to the ways to make change using the current coin denomination.

6. After iterating through all coin denominations and values, the value at index 75 represents the total number of ways to make change for 75 cents using quarters, nickels, and dimes.

Using this dynamic programming approach, you can find the total number of different ways to make change for 75 cents using quarters, nickels, and dimes.