CSAT: Arrangements of Letters Quiz

Question

In how many different ways can the letters of the word "BANANA" be arranged?

Accepted Answer

We are given an arrangement problem with repeated items, so we use the formula: Word = BANANA Total letters = 6 A repeats 3 times N repeats 2 times B repeats 1 time Number of arrangements = n! / (p! × q!) Step 1: Substitute the values. 6! / (3! × 2!) Step 2: Find factorial values. 6! = 720 3! = 6 2! = 2 Step 3: Calculate. 720 ÷ (6 × 2) = 720 ÷ 12 = 60 So, the total number of arrangements is 60. Final Answer: 60 (Option B)

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30

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60

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120

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720

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✅ Answer