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  • How many different six-letter words can be formed using 10 reverse alphabetic letters as first letter from Z without repetition?  Option: 1</stron

How many different six-letter words can be formed using 10 reverse alphabetic letters as first letter from Z without repetition?

 

Option: 1

10,626,000


Option: 2

10,600,000


Option: 3

12,666,000


Option: 4

14,890,000


Answers (1)

best_answer

To calculate the number of different six-letter words that can be formed using 10 reverse alphabetic letters as the first letter from Z without repetition, we can use the concept of permutations.

Since the first letter is fixed as one of the 10 reverse alphabetic letters from Z, we have 25 remaining letters to choose from for the second to sixth positions.

For the second position, we have 25 options. After choosing the second letter, we have 24 options remaining for the third position. Similarly, we have 23 options for the fourth position, 22 options for the fifth position, and 21 options for the sixth position.

The total number of different six-letter words that can be formed using the given conditions can be calculated as:

10 (options for the first position)\times 25 (options for the second position) \times 24 (options for the third position)\times 23 (options for the fourth position) \times22 (options for the fifth position) \times21 (options for the sixth position) = 10,626,000

Therefore, there are 10,626,000 different six-letter words that can be formed using the 10 reverse alphabetic letters as the first letter from Z without repetition.

 

Posted by

himanshu.meshram

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