How Do You Calculate 'n' in This Permutation Problem?

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SUMMARY

The calculation of 'n' in the permutation problem is derived from the equation 1/4! + 1/5! + 1/6! = n/7!. By multiplying both sides by 7!, the value of 'n' is determined to be 259. This conclusion is reached through the simplification of the left-hand side, resulting in the expression 7 * 6 * 5 + 7 * 6 + 7. The discussion also hints at the potential significance of the number 259, suggesting it may hold a special meaning.

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Find 'n' using permutations:

1/4! + 1/5! + 1/6! = n/7!
 
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Arunachaleshwar said:
1/4! + 1/5! + 1/6! = n/7!

Welcome on MHB Arunachaleshwar!...

... the problem You propose is not 'impossible'... multiplying the two sides for 7! You have...

$\displaystyle n= 7 \cdot 6 \cdot 5 + 7 \cdot 6 + 7 = 259$

... can it be that You are sending an encrypted message in which the number 259 has a special meaning? ...

Kind regards

$\chi$ $\sigma$
 

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