Find the maximum

You can use any letter at most one time, what is the Largest Number that you could write down in words?

Note :- Give your answer in numeric form like If your answer is "EIGHTY" write it as 80


The answer is 5000.

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1 solution

John Wyatt
Mar 5, 2018

Googol & Googolplex are also rules out (double O)

everything over 10^6 ends in "...llion" so is rules out due to double L

1st Rule out numbers that can't be used anywhere (self contain double - so can always be skipped)

~ 13-19 = double E

~ twelve = double E

~ eleven = double E

~ nine = N

~ seven = E

~ three = E

work on the powers of 10 in decreasing order

10^5 = hundred thousand --> multiple D's

10^4 = ten thousand --> need to check other multiples of 10 (ie 64,000 or 12,000)

~ (20 to 99) all multiples of 10 contain "ty" at the end - so would have a double T (....ty thousand),

~ 10 = T

10^3 = thousand

~ eight thousand = T

~ six thousand = S

~ five thousand = SOLUTION !!!

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