Fundamental Principle of Counting Quiz - CBSE Class 11 Mathematics

Free practice quiz: Fundamental Principle of Counting (CBSE Class 11 Mathematics). 16 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. A restaurant offers 3 appetizers, 5 main courses, and 2 desserts. How many different three-course meals are possible?

   1. 10
   2. 15
   3. 30
   4. 100
   Show answer

   Answer: C. 30

   Using the fundamental principle of counting, multiply the number of choices for each course: 3 * 5 * 2 = 30.

2. How many three-digit numbers can be formed using the digits 1, 2, 3, 4, 5 if repetition is not allowed?

   1. 10
   2. 60
   3. 120
   4. 125
   Show answer

   Answer: B. 60

   For the hundreds place, there are 5 choices. For the tens place, there are 4 remaining choices. For the units place, there are 3 remaining choices. Therefore, the total number of three-digit numbers is 5 * 4 * 3 = 60.

3. How many different ways can you arrange the letters in the word 'MATH'?

   1. 12
   2. 24
   3. 120
   4. 240
   Show answer

   Answer: B. 24

   This is a permutation problem. There are 4 letters, so there are 4! = 4 * 3 * 2 * 1 = 24 ways to arrange them.

4. How many 4-digit numbers can be formed using digits 1,2,3,4,5,6 if repetition is allowed?

   1. 36
   2. 1296
   3. 216
   4. 720
   Show answer

   Answer: B. 1296

   Since repetition is allowed, each of the four places can have 6 options. Therefore 6*6*6*6 = 1296.

5. A bag contains 5 red balls and 3 blue balls. In how many ways can you select 2 red balls and 1 blue ball?

   1. 10
   2. 30
   3. 15
   4. 60
   Show answer

   Answer: B. 30

   The number of ways to choose 2 red balls from 5 is 5C2 = 10. The number of ways to choose 1 blue ball from 3 is 3C1 = 3. The total number of ways is 10 * 3 = 30.

More quizzes

• Formulas

Browse all Permutations and Combinations quizzes