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  • How many different six-letter words can be formed using the letters A, B, C, D, E, F, G without repetition?  Option: 1 1020<

How many different six-letter words can be formed using the letters A, B, C, D, E, F, G without repetition?

 

Option: 1

1020


Option: 2

5040


Option: 3

4860


Option: 4

2680


Answers (1)

best_answer

To calculate the number of different six-letter words that can be formed using the letters A, B, C, D, E, F, and G without repetition, we can again use the concept of permutations.

Since there are 7 available letters and we want to form a six-letter word, we start with 7 options for the first letter. After choosing the first letter, we have 6 options for the second letter, 5 options for the third letter, 4 options for the fourth letter, 3 options for the fifth letter, and 2 options for the sixth letter.

The total number of different six-letter words can be calculated as:

7 \times 6 \times 5 \times 4 \times 3 \times 2=5,040

Therefore, there are 5,040 different six-letter words that can be formed using the given letters without repetition.

 

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Rishi

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