In how many ways can the letters of the word 'BANANA' be arranged?
Practice Questions
1 question
Q1
In how many ways can the letters of the word 'BANANA' be arranged?
60
30
20
10
The number of arrangements of the letters in 'BANANA' is 6! / (3!) = 20.
Questions & Step-by-step Solutions
1 item
Q
Q: In how many ways can the letters of the word 'BANANA' be arranged?
Solution: The number of arrangements of the letters in 'BANANA' is 6! / (3!) = 20.
Steps: 7
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).
