Question types

permutation and combination question types

591 questions across 1 question group — pick any mix to generate a MATHS paper with step-by-step answer keys.

591
Questions
1
Question groups
5
Question types
Sample Questions

permutation and combination questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
How many numbers can be formed from the digits $1,\, 2,\, 3,\, 4$ when the repetition is not allowed
  • A
    $^4{P_4}$
  • B
    $^4{P_3}$
  • C
    $^4{P_1}{ + ^4}{P_2}{ + ^4}{P_3}$
  • $^4{P_1}{ + ^4}{P_2}{ + ^4}{P_3}{ + ^4}{P_4}$

Answer: D.

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Q 2MCQ1 Mark
Four dice (six faced) are rolled. The number of possible outcomes in which at least one die shows $2$ is
  • A
    $1296$
  • B
    $625$
  • $671$
  • D
    None of these

Answer: C.

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Q 3MCQ1 Mark
The sum of all $4$ digit numbers that can be formed by using the digits $2, \,4,\, 6,\, 8$ (repetition of digits not allowed) is
  • $133320$
  • B
    $533280$
  • C
    $53328$
  • D
    None of these

Answer: A.

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Q 4MCQ1 Mark
The number of numbers that can be formed with the help of the digits $1, 2, 3, 4, 3, 2, 1$ so that odd digits always occupy odd places, is
  • A
    $24$
  • $18$
  • C
    $12$
  • D
    $30$

Answer: B.

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Q 5MCQ1 Mark
In how many ways can $5$ boys and $3$ girls sit in a row so that no two girls are together
  • A
    $5\,\,!\,\, \times \,\,3\,\,!$
  • B
    $^4{P_3} \times 5\,\,!$
  • $^6{P_3} \times 5\,\,!$
  • D
    $^5{P_3} \times 3\,!$

Answer: C.

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