Question: Inge is a sales representative for a shampoo brand. She plans to visit ten hairstylists who work at different salons as she makes her daily

Inge is a sales representative for a shampoo brand. She plans to visit ten hairstylists who work at different salons as she makes her daily rounds.

(a) How many possible routes can Inge take?

(b) Of the 10 hairstylists, five have blond hair, three have black hair, and two have red hair. How many possible routes exist if Inge can only differentiate hairstylists by the colour of their hair?

(c) Inge wants to invite six of the ten hairstylists to her 25th birthday party. How many possible combinations does she have to choose from?

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