From a group of 10 boys and seven girls, two are to be chosen to act as

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From a group of 10 boys and seven girls, two are to be chosen to act as the hero and the villain in the school play. Find in how many ways this can be done if these two roles are to be played by:

a. Any of the children 

b. Two girls or two boys 

c. A boy and a girl.

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