BITSAT PYQs for Permutations with Solutions: Practice BITSAT Previous Year Questions

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Shivam Yadav

Updated on - Dec 12, 2025

Permutations is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.

This article gives you a full set of BITSAT PYQs for Permutations with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Permutations questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.

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BITSAT PYQs for Permutations with Solutions

BITSAT PYQs for Permutations with Solutions

  • 1.
    The number of ways in which first, second and third prizes can be given to $5$ competitors is

      • 10
      • 60
      • 15
      • 125

    • 2.
      In how many ways can $5$ boys and $5$ girls sit in a circle so that no two boys sit together?

        • $5! \times 5!$
        • $4! \times 5!$
        • $\frac{5! \times 5!}{2} $
        • None of these

      • 3.
        How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition such that the number is divisible by 5?

          • 24
          • 48
          • 60
          • 120

        • 4.
          How many different nine digit numbers can be formed from the number $223355888$ by rearranging its digits so that the odd digits occupy even positions?

            • 16
            • 36
            • 60
            • 180

          • 5.
            In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be $70$ then the number of diagonals of the polygon is

              • 20
              • 28
              • 8
              • None of these

            • 6.
              In how many ways can a committee of $5$ made out $6$ men and $4$ women containing atleast one woman?

                • 246
                • 222
                • 186
                • None of these

              • 7.
                The number of positive integral solution of $abc = 30$ is

                  • 30
                  • 27
                  • 8
                  • None of these

                • 8.
                  All the words that can be formed using alphabets $A, H, L, U$ and $R$ are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is

                    • 71
                    • 72
                    • 73
                    • 74

                  • 9.
                    In how many ways can $5$ prizes be distributed among $4$ boys when every boy can take one or more prizes ?

                      • 1024
                      • 625
                      • 120
                      • 600

                    • 10.
                      In how many ways can $12$ gentlemen sit around a round table so that three specified gentlemen are always together?

                        • 9!
                        • 10!
                        • 3! 10!
                        • 3! 9!

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