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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

Multiplication principle: if 3 choices for first and 4 for second, total combinations:

Answer: 3×4=12.

  • A 3+4=7
  • B 3×4=12
  • C 3-4=?
  • D 3<sup>4</sup>=81

Correct answer: B. 3×4=12

Explanation: Multiplication principle: 3 × 4 = 12. When choices are independent and both must be made.

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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