A little problem for you. Heres the question: I have three fruits, each of the three fruits have 7 different flavors, I want to mix and match every possible flavor you could generate by mixing and matching how many would I have

bEaUtIfUlbRuNeTtE

Hey I got it right!

Well the third time I did.

I got 196 by adding 49 to my original answer which was 147. Clearly that wasn't right!

infoby

Gentlemen and Ladies,

Any time you encounter a combination you must consider all possibilities that is why this needs to be taken to the 7th power of three, which in turn gives you 2187 possible combinations.

Example: if the first fruit had banana, coconut, strawberry, peach, pear, blue berry, black berry,

This is just one of the fruits you could have,
Banana Coconut, Banana Strawberry, Banana Peach, Banana Blueberry, Banana pear, coconut strawberry, coconut peach, coconut pear, coconut blueberry, coconut Black Berry, strawberry peach, strawberry pear, strawberry blue berry, strawberry black berry, so on and so forth. I think you are getting my drift.

have fun

ebaines

Sorry, this is incorrect.

1. The number of possible combinations of 7 items taken as a group of 3 is , not . See earlier postings. So 343 is the correct answer if a combination such as banana-peach-pear is considered to be different from peach-banana-pear, and if combinations such as banana-banana-banana are allowed.

2. In the examples of combinations you gave you seem to exclude any duplications of the same fruit (i.e., no banana-banana-banana), and you also seem to avoid repeats -that is, if you have banana-peach-pear then you wouldn't also include peach-banana-pear. If that's how you interpret the question, then the number of different combinations you can have is , which is calculated as: 7*6*5/(3*2*1) = 35.

In any event, the OP has not posted back with a clarification of the problem, so we're just guessing as to what was actually meant. But 2187 is definitely not the correct answer.

britster

lol your funny

bEaUtIfUlbRuNeTtE

Why thank you britster!