1.

In how many ways can a team of 6 horses be selected out of a stud of 16, so that there shall always be three out of ABCA′B′C′, but never AA′,BB′ or CC′ together.

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In how many ways can a team of 6 horses be selected out of a stud of 16, so that there shall always be three out of ABCABC, but never AA,BB or CC together.



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