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A code word is to consist of two distinc...

A code word is to consist of two distinct English alphabets followed by two distinct number from `1to9.` for example, `C A23` is a code word. How many such code words are there? How many of them end with an even integer?

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To solve the problem of finding the total number of code words that consist of two distinct English alphabets followed by two distinct numbers from 1 to 9, we will break it down step by step. ### Step-by-Step Solution: 1. **Determine the choices for the alphabets:** - There are 26 distinct English alphabets. - For the first position (first alphabet), we have 26 choices. - For the second position (second alphabet), since it must be distinct from the first, we have 25 choices. ...
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  11. Compute: (20 !)/(18 !)

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  12. Compute: (10 !)/(6! 10 !)

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  13. Convert the following products into factorial: 6.7.8.9.10

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  14. Convert the following products into factorial: 2.4.6.8

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  15. Find the LCM of 4! 5! and 6!

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  16. Compute: (30 !)/(28 !)

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  17. Compute: (11 !-10 !)/(9!)

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  18. Prove that: 1/(9!)+1/(10 !)+1/(11 !)=(122)/(11 !)

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  19. Find\ x in each of the following: 1/(4!)+1/(5!)=x/(6!)

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  20. Find\ x in each of the following: x/(10 !)=1/(8!)+1/(9!)

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