Quiz on Permutations and Combinations

What do you call the arrangement of objects in which order is important?

• Differentiation

• Permutation

• Combination

Which of the following situations illustrates permutation?

• Forming committee of councilors.

• Assigning rooms for Grade 10 Students.

• Choosing 2 English books to buy from a variety of choices.

• Selecting 10 questions to answer out of 15 Math questions of the test.

Which of the following expressions represents the number of distinguishable permutations of the letters of the word CONCLUSION?

• 10!

• 10!/8!

• 10!/2!2!2!

• 11!/2!2!2!

If x = 7P4, y = 8P4 and z = 9P3, arrange x, y, and z from smallest to greatest.

• x, y, z

• z, x, y

• y, x, z

• x, z, y

If 9Pr = 504, what is r?

• 7

• 6

• 5

• 3

What is the focus of Permutation?

• Selection of an object.

• Tendency of an object to be chosen.

• Arrangement of an object.

• All of the above.

How many ways can 9 different books be arranged on a shelf?

• 5,040

• 9,000

• 120,000

• 362,880

What is the total number of different permutations of all the letters of the word MATH?

• 48

• 36

• 24

• 12

How many different 3-digit numbers can be formed from the digits 1, 3, 4, 6, 7, and 9 if repetition of the digit is not allowed?

• 840

• 720

• 360

• 120

Twenty students joined a contest in the school. The contest offers first, second, and third prizes. How many combinations of 1st, 2nd, and 3rd place winners can there be?

• 400

• 4620

• 6840

• 8000