Permutation and Circular Arrangements Worksheet

DIRECTION: Let us determine how much you have learned from this module. Read, analyze and answer each item carefully. Write the letter of the correct answer on the blank before the item number. 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 the letters of the word RUNNING be arranged?

• 5,040

• 2,520

• 1,260

• 840

There are four identical green flags, two identical white flags, and two identical red flags. Using all eight flags, how many signals can be made?

• 252

• 420

• 840

• 1,680

How many six-digit numbers can be made using the digits from 9, 4, 4, 3, 4, and 2?

• 720

• 360

• 120

• 60

A department store sells three same jackets, three same shirts, two same ties, and two same pairs of pants. How many different suits consisting of jacket, shirt, tie, and pants are possible?

• 25,200

• 19,120

• 18,900

• 4,200

How many different ten-digit numerals can be written using the digits 1, 2, 3, 4, 4, 5, 5, 6, 6, and 9?

• 453,600

• 45,360

• 4,536

• 536

Find the number of distinguishable permutations of the letters of the word ATI-ATIHAN.

• 3,628,800

• 518,400

• 302,400

• 15,120

In how many ways can three identical issues of a Mathematics magazine, two identical Statistics magazines, and five identical Science magazines be put in a stack?

• 1,260

• 2,520

• 5,040

• 30,240

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