Question 525651: 1. Show all work. A disc jockey has 8 songs to play. Six are slow songs, and two are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 8 songs if
The songs can be played in any order.
The first song must be a slow song and the last song must be a slow song.
The first two songs must be fast songs.
2.Show all work. Mary purchased a package of 9 different plants, but she only needed 6 plants for planting. In how many ways can she select the 6 plants from the package to be planted?
3. A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C.
Use the counting principle to determine the number of points in the sample space.
Construct a tree diagram to represent this situation.
List the sample space.
Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
1. a. 8 ways to pick the first one, times 7 ways to pick the second one, times 6..., that is to say 8!
b. 2 ways to pick the first one, times 6 ways to pick the second, times 5 ways to pick the third, times 4..., times 1 way to pick the last. 2! times 6!
c. 6 ways to pick the first one, times 5 ways to pick the second one, times 6 ways to pick the 3rd, times 5 ways to pick the 4th..., and so on, 30 times 6!
2. What part of one question per post don't you get?
John
My calculator said it, I believe it, that settles it
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