In a group of 15 entertainers, there are 6 singers, 5 guitarists and 4 comedians. A show

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In a group of 15 entertainers, there are 6 singers, 5 guitarists and 4 comedians.

A show is to be given by 6 of these entertainers.

In the show there must be at least 1 guitarist and 1 comedian.

There must also be more singers than guitarists.

Find the number of ways that the 6 entertainers can be selected.

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