Posted by **Matt** on Sunday, May 22, 2011 at 2:21pm.

A pack of Jillybeans contains seven different flavors: Apricot, Banana, Coconut, Date, Eggplant, Fig and Grape. You can make each flavor indivdually or come up with some crazy combinations. How many flavor combinations are possible with these seven flavors alone or mixed?

- algebra -
**MathMate**, Sunday, May 22, 2011 at 3:41pm
start with no flavour (which does not apply here), each time we add a flavour, we double the number of flavours.

So there are 2^7 flavour combinations for 7 flavours, *including* the no flavour at all "combination".

So there are 2^7-1 flavour combinations in total.

For example:

0 2^0 combination (no flavour at all, to be subtracted at the end)

A 2^1 combinations

B

AB 2^2 combinations

C

AC

BC

ABC 2^3 combinations

D

AD

BD

CD

ABD

ACD

BCD

ABCD 2^4 combinations

... etc.

## Answer This Question

## Related Questions

- Algebra Please help - A pack of Jellybeans contains 7 different flavors: Apricot...
- Algebra word problem - A pack of Jellybeans contains 7 different flavors: ...
- Algebra word problem - A pack of Jellybeans contains 7 different flavors: ...
- Math - A pack of jelly beans contains seven flavors, apricot, fig, grape, ...
- Algebra - There are 11 shake flavors. Each shake has 2 scoops. A shake can have ...
- Maths - An ice cream store sells 20 different flavors of ice cream and 3 ...
- Math - An ice cream stand has nine different flavors. A group of children come ...
- Algebra - An ice cream shop has 19 flavors. You also have the choice of a sugar ...
- Math - If I have 15 flavors of ice cream and 81 different toppings, how many ...
- Creative Writing - this is one of my assignments that i'm stuck on: write down ...

More Related Questions