## To determine how much money you might have with 2 coins, you can consider the different combinations of coins.

Let's assume you have coins of denominations 1, 5, 10, 25, 50, and 100 cents.

To create pairs of coins, you can use a combination formula. In this case, you want to choose 2 coins from a set of 6 denominations. The order of the coins doesn't matter, so it's a combination rather than a permutation.

The formula to calculate combinations is:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of items and r is the number of items you want to choose.

For our case, let's calculate the number of combinations of 2 coins from the set of 6 denominations:

C(6, 2) = 6! / (2!(6 - 2)!) = 6! / (2!4!) = (6 * 5 * 4!) / (2 * 1 * 4!) = (6 * 5) / (2 * 1) = 30 / 2 = 15

So, there are 15 different combinations of 2 coins from the given set.

Now, to calculate the amount of money for each combination, we can list them:

1 + 5 = 6 cents

1 + 10 = 11 cents

1 + 25 = 26 cents

1 + 50 = 51 cents

1 + 100 = 101 cents

5 + 10 = 15 cents

5 + 25 = 30 cents

5 + 50 = 55 cents

5 + 100 = 105 cents

10 + 25 = 35 cents

10 + 50 = 60 cents

10 + 100 = 110 cents

25 + 50 = 75 cents

25 + 100 = 125 cents

50 + 100 = 150 cents

Therefore, you can have any of these 15 different amounts of money with 2 coins, depending on the combinations you choose.