# Math Help - How many combinations without duplicates?

1. ## How many combinations without duplicates?

How many combination's of 7 flavors can be made without duplicates, and can be in combination's of 2-4? !NEVER HAVING THE SAME COMBINATION OF FLAVORS!

O= ORANGE G= GRENADINE V= VANILLA M= MINT g= GUAVA C= CHERRY S= STRAWBERRY

2. $\displaystyle ^7C_2+^7C_3+^7C_4$

3. Originally Posted by hollowprimus
How many combination's of 7 flavors can be made without duplicates, and can be in combination's of 2-4? !NEVER HAVING THE SAME COMBINATION OF FLAVORS!

O= ORANGE G= GRENADINE V= VANILLA M= MINT g= GUAVA C= CHERRY S= STRAWBERRY
in combination by two there is 15
in combination by 3 there is 35
and also by 4 there is 35 combinations