Permutations - Homework Help!

Hi there,

Just seeing if someone can help me with the answers to some of these questions. I am learning this course on my own, so it is sometimes difficult to come up with the answers.

17. Cecile tosses 5 coins, one after the other.

a) How many different out comes are possible? I said 5! Which is equal to 120 different ways

b) Draw a tree diagram to illustrate the different possibilities? Any ideas as to what the easiest way to go about doing this would be?

c) In how many ways will the first coin turn up heads and the last coin turn up tails?

d) In how many ways will the second, third, and forth coins all turn up heads?

e) Would the same possibilities arise in parts a), b), c), and d) if one coin was tossed 5 times in succession?

All of these questions are worth one mark each. The unit is about Permutations and Combinations in the Grade 12 Data Management course.

Any feedback would be appreciated. Thanks in advance