Dealing with factorials: Generalization

[ms. confused]

The second part of this problem is giving me a hard time. I hope someone can help me with it:

An airline pilot reported her itinerary for 7 days. She spent 1 day in Winnipeg, 1 day in Regina, 2 days in Edmonton, and 3 days in Yellowknife.

a) how many different itineraries are possible?

Using generalization I got 420 (that being the answer for this part) so I'm OK with that but...

b) what difference would it make if the first day and the last day had been spent in Yellowknife?

What do I do? :eek:

[ceptimus]

By fixing two of the days in Yellowknife, the problem reduces to:

An airline pilot reported her itinerary for 5 days. She spent 1 day in Winnipeg, 1 day in Regina, 2 days in Edmonton, and 1 day in Yellowknife.