Five cows and one set of twin calves can be housed separately in a row of seven

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Five cows and one set of twin calves can be housed separately in a row of seven stalls in 7P7 =5040 ways. Find in how many of these arrangements:

a. The two calves are not in adjacent stalls

b. The two calves and their mother, who is one of the 5 cows, are in adjacent stalls

c. Each calf is in a stall adjacent to its mother.

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