Question types

STD 11 - 6. 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
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1
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5
Question types
Sample Questions

STD 11 - 6. 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.

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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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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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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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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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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