Probability Questions Best answer if you get these right?

1. An election ballot asks voters to select four city comissioners from a group of either candidates. In how many ways can this be done?

2. How many different 5 card hands can be dealt from a deck that has only hearts (13 different cards)

3. In how many ways can first and second prize be awarded in a contest with 100 ppl assuming that each prizeis awarded to a dif. person

4. A restaurant offers 12 appitizers and 15 main plates. In how many ways can a person get a 2 course meal.

5. How many different ways can a director selects from 20 male actors to cast the roles of Mark Roger Angel and Collins in the musical rent

6. Six acts are scheduled to perform in a variety show, how many dif ways are there to schedule their appearances?

7. U need to arrange 7 of your favorite books along a small shelf. Although you are not arranging the books by height, the tallest of the books is to be paced at the left end and the shortest of the books at the right. How many ways can you arnge them?

Probability Questions Best answer if you get these right?hollywood theater

1) select groups of 4 from how many total people?

2) the first card can be any of the 13, the second card can be any of the remaining 12, etc. such that you have the following:

13 * 12 * 11 * 10 * 9 = 154,440 possible hands.

3) Any of the 100 can win first prize, only one of the 99 remaining can win second, so you have:

100 * 99 = 9900 possible ways

4) course 1 is any of 12 appatizers, course 2 is any of 15 main dishes:

12 * 15 = 180

5) punctuation helps. Is that 4 different roles ? If so, any of the 20 can be Mark, any of the remaining 19 can be Roger, etc. such that:

20 * 19 * 18 * 17 = 116,280 possible ways

6) Any of the 6 acts can be first, any of the remaining 5 can be second, etc. such that:

6 * 5 * 4 * 3 * 2 * 1 = 720

7) The first book must be the tallest, so there's only one choice. As is the last book. The middle 5 can then be done in any order, and like the others, the first of them is any of the 5, the second is any of the remaining 4, etc, such that you have:

1 * 5 * 4 * 3 * 2 * 1 * 1 = 120 possible ways.

I hope you see the pattern from all these and learn from it. I'd hate to think that I just did your homework for you.

Probability Questions Best answer if you get these right?opera.com opera theater

1) Incorrect question.

2)52 x 51 x 50 x 49 x 48

4)12 x 15

5)20C2 = 20 x 18 /2 x 1=180 ways