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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

How many ways can we choose 2 out of 6 flavors of ice cream?

Answer: 15.

  • A 12
  • B 15
  • C 30
  • D 6

Correct answer: B. 15

Explanation: 6C2 = 15. Order does not matter (just choosing, not arranging).

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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