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Permutations and Combinations

MHT-CET Maths. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 6 times: May 2022 S1, 3 May 2023 S2, 15 May 2023 S2, 9 May 2024 S2, 10 May 2024 S1, 14 May 2024 S1. This one: 14 May 2024 S1 See all 6 of this type

    118
    A linguistic club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this group including the selection of a leader (from among these 4 members) for the team. If the team has to include at most one boy, the number of ways of selecting the team is

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  2. Question 2

    This type asked 4 times: 11 May 2023 S1, 15 Apr 2026 S1, 16 Apr 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    55
    How many numbers (without repetition) between 400400 and 10001000 can be made with the digits 2,3,4,5,6,2, 3, 4, 5, 6, and 00?

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  3. Question 3

    This type asked 4 times: 12 May 2024 S1, 14 May 2024 S2, 20 Apr 2025 S1, 14 May 2026 S1. This one: 14 May 2026 S1 See all 4 of this type

    56
    In a polygon, the number of diagonals is 5454. Then the number of sides of the polygon is

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  4. Question 4

    This type asked 4 times: 2 May 2023 S2, 12 May 2024 S2, 11 Apr 2026 S1, 17 Apr 2026 S1. This one: 17 Apr 2026 S1 See all 4 of this type

    52
    The number of arrangements of the letters in the word SOLAPUR, so that consonants and vowels are placed alternately is

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  5. Question 5

    This type asked 3 times: 16 May 2023 S2, 22 Apr 2025 S2, 12 May 2026 S2. This one: 12 May 2026 S2 See all 3 of this type

    57
    How many different five digit numbers which are divisible by 44 can be formed using the digits in the number 2245722457 ?

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  6. Question 6

    This type asked 3 times: 21 Apr 2025 S2, 19 Apr 2026 S2, 12 May 2026 S1. This one: 12 May 2026 S1 See all 3 of this type

    57
    If (n+3)!(n2−4)(n+1)!=116\dfrac{(n + 3)!}{(n^2 - 4)(n + 1)!} = \dfrac{11}{6}, for n∈N,n≠2n \in N, n \neq 2, then the value of 3n−203n - 20 is equal to ...

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  7. Question 7

    This type asked 3 times: 4 May 2023 S1, 26 Apr 2025 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 3 of this type

    52
    11 players of the Indian cricket team are sitting at a circular table. The number of ways they can sit so that two players, the wicket keeper and the captain never sit together is ___

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  8. Question 8

    Asked 2 times: 21 Apr 2025 S1*, 19 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    55
    The maximum number of points of intersection between 44 circles and 44 straight lines is:

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  9. Question 9

    Asked 2 times: 9 May 2024 S1*, 19 May 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    Everyone in the room handshakes with everyone else. If the total number of handshakes is 66, then the number of persons in the room is...

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  10. Question 10

    Asked 2 times: 19 Apr 2025 S1*, 19 Apr 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    53
    Four men and three women are to be arranged at a round table. The number of arrangements in which no two women are together is ....

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