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In this lesson, we will learn how to use permutations to count outcomes.

Q1:

Karim and Dina are graduating in a class of 57 students. If each student is assigned a number from 1 to 57 at random, what is the probability that Karim’s number will be 1 and Dina’s will be 2?

Q2:

Shady and Amira are graduating in a class of 45 students. If each student is assigned a number from 1 to 45 at random, what is the probability that Shady’s number will be 1 and Amira’s will be 2?

Q3:

In how many ways can you order four people sitting on a bench?

Q4:

In how many ways can 2 people sit on 8 chairs?

Q5:

In how many ways can 4 people sit on 9 chairs?

Q6:

How many different 4-digit numbers can be formed from the digits 5, 3, 2, 7, and 6? Assume no number can be used more than once.

Q7:

In how many different ways can 8 friends sit in a line if 2 of them, Nada and Farida, must sit next to each other?

Q8:

In how many different ways can 9 friends sit in a line if 2 of them, Mona and Rania, must sit next to each other?

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