# The Futurists, a rock group, are planning a concert tour with performances to begiven in five cities: San Francisco, Los Angeles,

###### Question:

how many ways can they arrange their itinerary if

a. There are no restrictions?

b. The tree performances in California must be given consecutively?

## Answers

a. 24

b. 12

Step-by-step explanation:

a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.

4 * 3 * 2 * 1 = 24

b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.

3 * 2 * 1 = 6

Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.

6 * 2 = 12

Skew lines(segments) are lines(segments) in 3 dimensions that do not intersect the given segment and are not parallel to it. ae, bf, eg, and fh are your skew segments. i hope that : )

You need to include the original coordinates of the triangle to answer this. and how much does it translate (move left right up down)

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