(adsbygoogle = window.adsbygoogle || []).push({}); A subgroup must be formed, with 4 people being chosen from 3 larger groups.

Group A contains 6 people

[*]Group B contains 4 people

[*]Group C contains 3 people

The subgroup of 4 must contain atleast 1 person from each group (A,B,C). How many possible groups are there?

Well there are 6 possible choices for the first place, 4 for the next and 3 for the third place. The fourth place can be taken by any of the remaining 10people. The calculation i came up with was:

[tex]

{}^6C_1 {}^4C_1 {}^3C_1 {}^{10}C_1=720

[/tex]

However, that is wrong. What have i done wrong?

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# Combinations precalc problem help

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