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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

How many words can be formed from GARDEN using all letters?

Answer: 720.

  • A 360
  • B 720
  • C 120
  • D 240

Correct answer: B. 720

Explanation: GARDEN: 6 distinct letters. 6! = 720 arrangements.

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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