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

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

Correct Answer: 20

Step 1: Count the total number of letters in the word 'BANANA'. There are 6 letters.
Step 2: Identify how many times each letter appears. 'B' appears 1 time, 'A' appears 3 times, and 'N' appears 2 times.
Step 3: Use the formula for arrangements of letters with repetitions: Total arrangements = Total letters! / (Repeated letters1! * Repeated letters2! * ...).
Step 4: Plug in the values: Total arrangements = 6! / (3! * 2!).
Step 5: Calculate 6! (which is 720), 3! (which is 6), and 2! (which is 2).
Step 6: Now calculate: 720 / (6 * 2) = 720 / 12 = 60.
Step 7: The final answer is 60, which is the number of ways to arrange the letters of 'BANANA'.

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