You are at a restaurant. You have 8 dishes to choose from, and you may choose 5 for dinner. Repeats are allowed. For example, you may choose 5 of the first dish. How many possible different dinners can you come up with?
2007-07-22 06:11:20 · 16 answers · asked by CoolioMADDog 4 in Science & Mathematics ➔ Mathematics
You are at a restaurant and there are 8 items on the menu. You have to buy exactly 5 items from the menu (repeats allowed). For example, you can buy 5 of the same dish. How many different ways are there to order?
2007-07-22 06:15:19 · update #1
Hint: The answer is NOT 8^5. This method counts each possible combination many times!
2007-07-22 06:21:33 · update #2
Coder=Explain please
2007-07-22 08:33:08 · update #3
I think 792
2007-07-22 07:30:21 · answer #1 · answered by Anonymous · 2⤊ 1⤋
It's 8×7×6×5×4/5×4×3×3×1 = 56
right??
2007-07-22 06:37:03 · answer #2 · answered by Anonymous · 0⤊ 1⤋
You will need to take each of the cases separately:
For example
case 1 - all 5 are repeats gives 8
case 2 - 4 are repeats one not gives 8^2
case 3 - 3 are one dish and 2 are another gives 8^2
case 4 - 3 are one dish, 1 is another and 1 is another = 8^3/2 to take the 2 individual dishes in any combination
case 5 - this goes on for quite a number of combinations then you add the results together.
2007-07-22 06:33:30 · answer #3 · answered by rscanner 6 · 0⤊ 2⤋
There are 8 ways to choose each dish,
so the total number is 8*8*8*8*8 = 8^5 = 2^15 = 32768
possible dinners.
2007-07-22 06:15:36 · answer #4 · answered by steiner1745 7 · 0⤊ 2⤋
8^5
2007-07-22 06:35:36 · answer #5 · answered by yahsaar1109 1 · 0⤊ 2⤋
17
2007-07-22 06:20:08 · answer #6 · answered by Anonymous · 0⤊ 2⤋
this is an order question...so look at each choice one at a time
first choice there are 8 to choose from
second choice there are 8 again
and so on for 5 choices
then there are 8^5 choices or 32768
2007-07-22 06:17:19 · answer #7 · answered by gfulton57 4 · 0⤊ 2⤋
Steiner is right, you have 8 choices to make 5 times, so it's 8^5.
2007-07-22 06:21:56 · answer #8 · answered by krystle579 3 · 0⤊ 2⤋
The answer is the fifth power of 8 which is 32, 768 ways .
2007-07-22 06:34:23 · answer #9 · answered by ? 1 · 0⤊ 2⤋
anticipate that x= how lots Ty's pumpkin earned Selena have been given x+10 money Ty have been given x money Niko have been given x money Corrine have been given x money Araceli have been given x+10 money Forrest have been given x+10 money. x+10+x+10+x+10+x+x+x=a hundred and eighty 6x+30=a hundred and eighty 6x=a hundred and fifty x=$25. Ty, Niko, and Corrine each and each have been given 25 money. Araceli, Forrest, and Selena each and each have been given 25+10 or 35 money.
2016-10-19 06:39:11 · answer #10 · answered by ? 4 · 0⤊ 0⤋
70
2007-07-22 06:23:58 · answer #11 · answered by Anonymous · 0⤊ 2⤋