Help with Factorial and Permutations Question

Help with Factorial and Permutations Question




so from our Data Management Hwk, I didn't understand how to go on about these 3 questions.



1. There are seven seats available in a station-wagon. In how many different ways can seven people be seated for a trip if only three of the people are able to drive?



2. Twelve girls try out for a hockey team. Two can play only in goal, four girls can play only on defense, and the rest can play either center or forward. In how many different ways can the coach make up the stating line up?



3. Find the number of combinations and permutations of all of the letters of the word:



-ANTEPENULTIMATE



(Those are the 3 questions, It would be GREATLY appreciated if you could show how you got the answer) Thank you in advance!!





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