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Math Help - How many combinations without duplicates?

  1. #1
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    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
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  2. #2
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    \displaystyle ^7C_2+^7C_3+^7C_4
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  3. #3
    Senior Member yeKciM's Avatar
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    Quote Originally Posted by hollowprimus View Post
    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
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