Neha arranges the 10 distinct numbers With 10 distinct functions. What will be…

2024

Neha arranges the 10 distinct numbers With 10 distinct functions. What will be the total number of Combination?

  1. A.

    1010

  2. B.

    13

  3. C.

    90

  4. D.

    None of these

Attempted by 51 students.

Show answer & explanation

Correct answer: A

Interpretation: We assign each of the 10 distinct numbers to one of 10 distinct functions, using each number exactly once (a one-to-one assignment).

  • Choose a number for the first function: 10 choices.

  • Choose a number for the second function: 9 remaining choices.

  • Continue similarly; choices multiply: 10 × 9 × 8 × ... × 1 = 10!.

Final answer: 10! = 3,628,800.

Note: The option that shows 10^10 would be correct only if repetition were allowed (each function could independently receive any of the 10 numbers). Since the problem states arranging 10 distinct numbers with 10 distinct functions (one-to-one), use permutations (10!). Because 3,628,800 does not appear among the numeric choices, the correct choice from the given options is "None of these."

Explore the full course: Cdac C Cat Complete Preparation