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Permutations and Combinations

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Fundamental Principle of Counting

Subtopic

Fundamental Principle of Counting under Permutations and Combinations for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    How many 44-digit numbers can be formed where no digit is repeated? (Note: The first digit cannot be 00)

    A.

    5,0405,040

    B.

    4,5364,536

    C.

    10,00010,000

    D.

    9,0009,000

  2. 2.

    A quiz has 33 questions. The first two are True/False, and the third is multiple-choice with 44 options. In how many ways can the quiz be answered?

    A.

    88

    B.

    1212

    C.

    1616

    D.

    2424

  3. 3.

    In how many ways can 22 letters be posted in 33 different letter boxes?

    A.

    66

    B.

    88

    C.

    99

    D.

    55

Download the worksheet for Permutations and Combinations - Fundamental Principle of Counting to practice offline. It includes additional chapter-level practice questions.

Permutations

Subtopic

Permutations under Permutations and Combinations for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the number of ways to arrange the letters of the word 'BIRD'.

    A.

    2424

    B.

    1212

    C.

    44

    D.

    1616

  2. 2.

    Evaluate 6!3!\frac{6!}{3!}.

    A.

    22

    B.

    2020

    C.

    120120

    D.

    66

  3. 3.

    How many ways can 4 distinct prizes be awarded to 4 students such that each student gets one prize?

    A.

    44

    B.

    1616

    C.

    2424

    D.

    11

Download the worksheet for Permutations and Combinations - Permutations to practice offline. It includes additional chapter-level practice questions.

Combinations

Subtopic

Combinations under Permutations and Combinations for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the value of 8C7^{8}C_{7}.

    A.

    1

    B.

    7

    C.

    8

    D.

    56

  2. 2.

    In how many ways can you choose zero items from a set of 10 distinct items?

    A.

    0

    B.

    1

    C.

    10

    D.

    100

  3. 3.

    Evaluate the value of 9C1^{9}C_{1}.

    A.

    1

    B.

    9

    C.

    18

    D.

    81

Download the worksheet for Permutations and Combinations - Combinations to practice offline. It includes additional chapter-level practice questions.

Permutations and Combinations - Class 11 Maths (CBSE) | Krit.club