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Permutations and Combinations · Discussion forum

Hard Level Question 31 – answer, explanation & discussion

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Question 31 Back to Exercise

How many different 4-letter arrangements can be made from the letters of BANANA?

  • A 30
  • B 360
  • C 38 Correct
  • D 60
Correct Answer: Option C

Available: A × 3, N × 2, B × 1

AAA + N or B: 2 × 4 = 8

AANN: 4!/(2! 2!) = 6

AANB: 4!/2! = 12

ANNB: 4!/2! = 12

Total = 38

Trap: 360 = 6P4 treats all letters as different.

Answer: 38

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