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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

The number of subsets of a set with 4 elements:

Answer: 16.

  • A 4
  • B 8
  • C 16
  • D 24

Correct answer: C. 16

Explanation: Total subsets = 2<sup>n</sup> = 2<sup>4</sup> = 16 (including empty set and the set itself).

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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