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A family has two dogs, named Peanut and Polly, one cat, named Bitcoin and two chickens named Hugh and Hen. Assuming that each pet has

A family has two dogs, named Peanut and Polly, one cat, named Bitcoin and two chickens named Hugh

and Hen. Assuming that each pet has an equally likely chance of being fed. 6 pts

(a) If all five animals are fed, how many different permutations (order matters) are there?

(b) What is the probability that the two dogs are fed first?

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