How many different words can be formed using the letters of the word ‘BANKER‘?Options126120720
Question
How many different words can be formed using the letters of the word ‘BANKER’?
Options:
- 126
- 120
- 720
Solution
The word 'BANKER' has 6 letters in total.
When forming different words using all these letters, we consider each position in the word can be filled by any of the 6 letters.
So, the first position can be filled in 6 ways.
Once the first position is filled, the second position can be filled in 5 ways (as one letter has already been used).
Similarly, the third position can be filled in 4 ways, the fourth in 3 ways, the fifth in 2 ways and the last position in only 1 way (as all other letters have been used).
So, the total number of different words that can be formed is 65432*1 = 720.
So, the correct answer is 720.
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