How many ways can you give 20 cents in change?
2007-08-22 14:59:32 · 15 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
How do I work it out?
2007-08-22 15:10:07 · update #1
As I am in Australia then only ways are:
20cents,
4 5cents,
2 10cents,
2 5 cents and 1 10cents.
2007-08-22 15:09:00 · answer #1 · answered by Anonymous · 0⤊ 0⤋
7
2007-08-30 17:53:10 · answer #2 · answered by Curtiss S 1 · 0⤊ 0⤋
Nine ways:
1) 5 pennies, 1 nickel, 1 dime
2) 5, 3, 0
3) 10, 0, 1
4) 10, 2, 0
5) 15, 1, 0
6) 20, 0, 0
7) 0, 0, 2
8) 0, 2, 1
9) 0, 4, 0
2007-08-22 22:09:29 · answer #3 · answered by morningfoxnorth 6 · 1⤊ 0⤋
20 pennies
4 nickles
2 dimes
15 pennies +1 nickle
10 pennies + 2 nickles
10 pennies + 1 dime
5 pennies + 3 nickles
5 pennies +1 dime + 2 nickles
8 ways
2007-08-29 15:08:13 · answer #4 · answered by Anonymous · 0⤊ 0⤋
9 is correct and can be verified in a method called generating functions by checking the coefficient of x^20 in the expansion of (1+x+x^2+x^3+x^4+x^5+...+x^20) * (1+x^5+x^10+x^15+x^20)* (1+x^10+x^20).
2007-08-22 22:10:15 · answer #5 · answered by Derek C 3 · 0⤊ 0⤋
Not too many, actually...
20 pennies
15 pennies and a nickel
10 pennies and two nickels
10 pennies and a dime
5 pennies, a dime, and a nickel,
5 pennies and three nickels,
2 dimes,
4 nickles,
and 32 Canadian cents.
2007-08-22 22:06:40 · answer #6 · answered by edward_otto@sbcglobal.net 5 · 0⤊ 1⤋
how many ways to give 20 cents
lets start with pennies -20 pennies
lets use just nickles - 4 nickles
lets just dines- 2 dimes
Now lets look at nickles and pennies -
1 nickle and 15 pennies
2 nickes and 10 pennies
3 nickles and 5 pennies
Now lets look at nickles and dimes
1 dime and 2 nikckles
Now lets look at dimes and pennies
1 dime and ten pennies
Now lets look at pennies, nickles, and dimes
1 dime and 1nickle and 5 pennies
Lets add all this up - we come up with 9 ways
anwsar 9 ways
2007-08-29 19:32:38 · answer #7 · answered by scide i 2 · 1⤊ 0⤋
If p = 1 cent, n = 5 cents and d = 10 cents then: (1) 20p (2) 15p + n (3) 10p + 2n (4) 5p + 3n (5) 4n (6) 2n +d (7) n + d +5p (8) d + 10p. I think that's all.Oops missed 2d for the 9th combination. Thanks for the 2 points.
2007-08-30 17:13:37 · answer #8 · answered by Emissary 6 · 0⤊ 0⤋
(1) 20 pennies
(2) 1 nickel, 15 pennies
(3) 2 nickels, 10 pennies
(4) 3 nickels, 5 pennies
(5) 4 nickels
(6) 1 dime, 10 pennies
(7) 2 dimes
(8) 1 dime, 1 nickel, 5 pennies
(9) 1 dime, 2 nickels
...hmmm...
2007-08-22 22:03:51 · answer #9 · answered by Smarty-Marti 5 · 2⤊ 0⤋
20 pennies
15 pennies and a nickel
10 pennies and a dime
2 dimes
3 nickels and 5 pennies
4 nickels
2 nickels, 1 dime
7 is the most, I believe. Feel free to add, I may have missed one :)
2007-08-22 22:05:31 · answer #10 · answered by bubblebobboy 1 · 0⤊ 1⤋