How many distinct word permutations can be formed using all the letters in the word BANANA?
Answer and explanation
Correct answer: C. 60 words
- Step 1: Total letters = 6: B appears 1 time, A appears 3 times, N appears 2 times. Step 2. Multinomial permutation formula: 6! / (1! 3! 2!) = 720 / (1 6 2) = 720 / 12 = 60 distinct words. Answer: 60 words. Why not the others: 120 divides only by 3!; 720 is 6! without accounting for repeating letters; 30 divides by an extra 2.
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