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IIT JEE Maths Practice Paper – Part 17 Permutations and Combinations

IIT JEE Maths Practice Paper – Part 17: Permutations and Combinations

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Boost your problem-solving skills in Permutations and Combinations with 10 carefully selected multiple-choice questions from previous IIT JEE exams. This set helps you master arrangements, selections, and advanced counting principles essential for scoring well in combinatorics.

IIT JEE Maths Practice Paper – Part 17: Permutations and Combinations

  1. In how many ways can the letters of the word “APPLE” be arranged?

    a) 120
    b) 60
    c) 240
    d) 100

  2. How many 4-digit numbers can be formed using digits 1, 2, 3, 4, 5 without repetition?

    a) 120
    b) 625
    c) 360
    d) 256

  3. Number of ways to choose 3 balls from 5 red and 4 green balls:

    a) 56
    b) 84
    c) 126
    d) 36

  4. How many ways can 3 boys and 2 girls be seated in a row such that the girls do not sit together?

    a) 72
    b) 36
    c) 144
    d) 60

  5. Number of circular permutations of 6 distinct objects:

    a) 720
    b) 120
    c) 60
    d) 5040

  6. A committee of 3 is to be formed from 4 men and 3 women. Number of ways it can be done:

    a) 35
    b) 20
    c) 30
    d) 25

  7. From the word “BANANA”, how many unique permutations can be formed?

    a) 60
    b) 120
    c) 360
    d) 720

  8. The number of permutations of 5 different books taken 3 at a time:

    a) 10
    b) 60
    c) 20
    d) 15

  9. If 5 people sit around a round table, how many seating arrangements are possible?

    a) 120
    b) 24
    c) 60
    d) 30

  10. The number of ways to divide 10 students into 2 groups of 5 each:

    a) 126
    b) 252
    c) 462
    d) 180

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