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I have been asked this question and have absolutley NO idea on what the answer is, someone please help me! Ok heres the question.
If a = 1, b = 2, ... , z = 26, is there a word that when the values of
the letters are multiplied will make a product of one million? For
example, BAD = (2)(1)(4) = 8.
well, it would be fairly simple to make a computer program which would run through a word list, working out the product in each case, and output any words that equalled 1000000. You can download dictionary wordlists online.
From Galactus's thought we can see that the word must contain letters from among the following:
B = 2
D = 2^2
H = 2^3
P = 2^4
E= 5
Y =5^2
J = 2 x 5
T = 2^2 x 5
Anyone here a good Scrabble player?
If you had a computer program that could run through word lists, it would only need to search those words containing these letters. I can only come up with nonsense words, like JEETHY.
JETTY is close - it multiplies out to 500,000.
From Galactus's thought we can see that the word must contain letters from among the following:
B = 2
D = 2^2
H = 2^3
P = 2^4
E= 5
Y =5^2
J = 2 x 5
T = 2^2 x 5
Anyone here a good Scrabble player?
If you had a computer program that could run through word lists, it would only need to search those words containing these letters. I can only come up with nonsense words, like JEETHY.
JETTY is close - it multiplies out to 500,000.
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