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A family of 6 is visiting a mall. The mall has 10 exit doors. Assume random selection. Use combinations, permutations and, or, the multiplication principle

A family of 6 is visiting a mall. The mall has 10 exit doors. Assume random selection. Use combinations, permutations and, or, the multiplication principle to find the probability that

a. No family member chooses the same exit door.

b. Every family member chooses the same exit door.

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