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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

Total number of functions from set A (3 elements) to set B (4 elements):

Answer: 64.

  • A 12
  • B 64
  • C 24
  • D 81

Correct answer: B. 64

Explanation: Each element of A can map to any of 4 elements in B. Total = 4<sup>3</sup> = 64.

StartABCBCACAB6 ordered outcomes (permutations); pairing AB/BA etc gives 3 combinations

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections

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