Distinguishable Permutation and Combination

Instruction: Choose the letter of the correct answer.

1. How many different 4-digit even numbers can be formed from the digits 1, 3, 5, 6, 8, and 9 if no repetition of digits is allowed?

• A. 1 680

• B. 840

• C. 120

• D. 420

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

• A. 360

• B. 720

• C. 1440

• D. 5040

3. Find the number of distinguishable permutations of the letters of the word PASS.

• A. 4

• B. 12

• C. 36

• D. 144

4. If a combination lock must contain 5 different digits, in how many ways can a code be formed from the digits 0 to 9?

• A. 15 120

• B. 30 240

• C. 151 200

• D.100 000

5. In a room, there are 10 chairs in a row. In how many ways can 5 students be seated in consecutive chairs?

• A. 252

• B. 600

• C. 720

• D. 120