Review Activity 1

What is 3!4!2! in simplest form?

• 288!

• 24!

• 288

• 24

10 students will be arranged in a row. Which counting technique will be used to find the number of ways it can be done?

• Combination

• Linear permutation

• Fundamental principle of counting

• Circular permutation

What is P(25, 1)?

• 0

• 25

• 25!

• 1

For your morning snack, you may choose from coffee, milk or juice. You also have two choices for sandwich: ham or tuna. How many possible snacks are there?

• 12

• 10

• 8

• 6

Albert has 3 shirts and 5 caps. He wants to know in how many ways can he wear them to create different outfits. Which counting technique will help him?

• Fundamental principle of counting

• Combination

• Circular permutation

• Linear permutation

A prospective buyer of a new car can choose between manual or automatic transmission and can also choose from 4 colors: red, blue, pink or green. How many different choices does the buyer have?

• 12

• 10

• 8

• 6

Given n distinct objects and suppose we take r objects at a time. In how many ways can the r positions be filled from the n objects?

• P=n!/(r!*(n-r)!)

• P=n!

• P=n!/(n-r)!

• P=n!/(r!)

How many three-digit numbers can be formed from the digits 1, 2, 3 and 4 if repetition of the digits is permitted?

• 256

• 266

• 246

• 236

How many 4-letter words can be formed from DESTINY if repetition of the letters is permitted?

• 2541

• 2031

• 2301

• 2401

In how many ways can 8 children stand in a circle to play a game?

• 5,000

• 5,040

• 5,020

• 5,030