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

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Arunachaleshwar
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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

$\chi$ $\sigma$