Ch 11 Review

Four acts are scheduled to perform in a variety show. How many different ways are there to schedule their appearances?

• 4!

• 4C4

• 4P1

In how many ways can seven airplanes line up for a departure on a runway if the plane with the greatest number of passengers must depart first?

• 7!

• 6P6

• 7 x 6

• 7 x 6 x 5 x 4 x 3 x 2

A human resource manager has 11 applicants to fill three different positions. Assuming that all applicants are equally qualified for any of the three positions, in how many ways can this be done?

From the ten books that you've recently bought but not read, you plan to take four with you on vacation. How many different sets of four books can you take?

In how many distinct ways can the letters of the word STATEMENT be arranged? Use just the number, no commas.

One student is selected at random from a group of 12 freshmen, 16 sophomores, 20 juniors, and 2 seniors. Find the probability that the person selected is a freshmen.

One student is selected at random from a group of 12 freshmen, 16 sophomores, 20 juniors, and 2 seniors. Find the probability that the person selected is not a sophomore.

One student is selected at random from a group of 12 freshmen, 16 sophomores, 20 juniors, and 2 seniors. Find the probability that the person selected is a junior or a senior.

• Not enough information.

If you are dealt one card from a 52-card deck, find the probability of being dealt a card greater than 4 and less than 10.

Six movies (A, B, C, D, E, and F) are being scheduled for showing. The order of showing is determined by random selection. Find the probability that film C will be shown first, film A next-to-last, and film E last.