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- How many different five-letter words starting with C can be formed using the letters A, B, C, D, E with and without repetition? Option: 1</strong
How many different five-letter words starting with C can be formed using the letters A, B, C, D, E with and without repetition?
3125
2680
4690
5680
Answers (1)
To calculate the number of different five-letter words starting with "C" that can be formed using the letters A, B, C, D, and E, we can use the concept of permutations.
Without repetition:
Since there are 5 available letters and we want to form a five-letter word, we start with 1 option for the first letter (which is "C" as it is specified), then we have 4 options for the second letter, 3 options for the third letter, 2 options for the fourth letter, and 1 option for the fifth letter.
The total number of different five-letter words starting with "C" and without repetition can be calculated as:
With repetition:
If repetition is allowed, then for each position in the five-letter word, we still have 5 options (A, B, C, D, E).
The total number of different five-letter words starting with "C" and with repetition can be calculated as:
Therefore, there are 24 different five-letter words starting with "C" without repetition, and 3,125 different five-letter words starting with "C" with repetition.
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