SOLUTION: Given 2 quarters and 3 dimes how many different amounts of money can be created using 1 or more coins

Question 962309: Given 2 quarters and 3 dimes how many different amounts of money can be created using 1 or more coins
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
D: 10 cents
DD: 20
DDD: 30
Q: 25
QD: 35
QDD: 45
QDDD: 55
QQ: 50
QQD: 60
QQDD: 70
QQDDD: 80
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

how many = 3*4 - 1 = 12 - 1 = 11.         ANSWER

        Explanation

3 opportunity for quarters (0, 1, 2)
and 4 opportunity for dimes (0, 1, 2, 3).

So the product   3*4 = 12   is the number of all different possible combinations (pairs (q,d) ).

Minus the degenerated case (q,d) = (0,0) gives finally the answer   12-1 = 11.

--------------

Solved.

RELATED QUESTIONS
George has 2 quarters, 2 dimes, and 2 nickels. Using atleast one of the 6 coins, how many (answered by Edwin McCravy)
George has 2 quarters, 2 dimes and 2 nickels. Using two of the 6 coins, how many... (answered by CubeyThePenguin)
you have 2 pennies, 3 nickels, 1 dime and 2 quarters. how many different sums of money... (answered by josgarithmetic)
How many different amounts of money can you pay if you use three coins including nickles, (answered by Alan3354)
How many different amounts of money can you pay if you use four coins including only... (answered by stanbon)
How many different amounts of money could you have if you have 3 coins consisting of... (answered by northern)
Using one or more of the coins, how many different amounts of money can be made from a... (answered by Edwin McCravy)
how many different amounts of money can you pay if you use three coins including nickels, (answered by Edwin McCravy)
Given nine nickels and four pennies, find how many different sums of money can be formed... (answered by josmiceli)