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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

A coin is tossed 3 times. Number of ways to get exactly 2 heads:

Answer: 3.

  • A 2
  • B 3
  • C 4
  • D 6

Correct answer: B. 3

Explanation: 3C2 = 3. The three possible outcomes: HHT, HTH, THH.

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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