Math 3rd quarter review

Which of the following situations or activities involve permutation?

• matching shirts and pants

• forming different triangles out of 5 points on a plane, no three of which are collinear

• assigning telephone numbers to subscribers

• forming a committee from the members of a club

Two different arrangements of objects where some of them are identical are called __________.

• distinguishable permutations

• unique combinations

• circular permutations

• circular combinations

The product of a positive integer n and all the positive integers less than it is _____.

• powers of n

• multiples of n

• n - factors

• n factorial

How many different 4-digit even numbers can be formed from the digits1, 3, 5, 6, 8, and 9 if no repetition

of digits is allowed?

• 1 680

• 840

• 420

• 120

In how many ways can 8 people be seated around a circular table if two of them insist on sitting beside

each other?

• 360

• 720

• 1440

• 5040

Determine the number of distinguishable permutations of the letters of the word PASS.

• 4

• 12

• 36

• 44

What is P(8, 5)?

• 56

• 336

• 1400

• 6720

If P(n, 4) = 5040, then n = ____.

• 12

• 10

• 9

• 8

Given x = P(n, n) and y = P(n, n – 1), what can be concluded about x and y?

• x > y

• x < y

• x = y

• x = – y

Choosing a subset of a set is an example of ___.

• combination

• differentiation

• integration

• permutation