Mathematics 10

1. What is true about Permutation?

• A. It focuses on the arrangement of objects.

• B. It focuses on the probability of objects to be chosen.

• C. It focuses on the selection of objects regardless of order.

• D. All of the above

If one event can occur in m ways and a second thing can occur in n ways, then which expression gives the number of ways both events can occur?

• 𝑚! 𝑛!

• 𝑚 × n

• 𝑚!

• 𝑛!

Evaluate 7P5.

• 42

• 120

• 2,520

• 5,040

A new model of a car is available in six exterior colors, three interior colors, and two interior styles. How many versions of car are available for order?

• 2

• 6

• 36

• 720

A multiple-choice test contains five questions, and each question has four options. In how many ways can the five questions be answered?

• 20

• 25

• 625

• 1,024

A bookshelf has five different Algebra books and n different Geometry books. If there are 40,320 ways to arrange the books on the shelf, how many Geometry books are on the bookshelf?

• 6

• 5

• 4

• 3

How many ways can the letters from the word FLEA be arranged such that each “word” starts with a consonant and ends with a vowel?

• 8

• 12

• 24

• 27

What concept is involved when the letters of the word “FAIR” taken 4 at a time equals 24?

• Combination

• FPC

• Permutation

• Probability

In how many ways can eight people be seated around a circular table?

• 362,880

• 40,320

• 5,040

• 720

How many ways can 11 people be seated around a circular table if two insist to seat next to each other?

• 181,440

• 362,880

• 725,760

• 1,451,520