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azlink10
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how many positive odd integers less than 70,000 can be represented using the digits 2,3,4,5,and 6
 3 years ago
 3 years ago
azlink10 Group Title
how many positive odd integers less than 70,000 can be represented using the digits 2,3,4,5,and 6
 3 years ago
 3 years ago

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azlink10 Group TitleBest ResponseYou've already chosen the best response.0
greaaaaat so nobody knows:(
 3 years ago

Andras Group TitleBest ResponseYou've already chosen the best response.0
just looked at it now, thinking
 3 years ago

dhatraditya Group TitleBest ResponseYou've already chosen the best response.0
you mean as a arithmetic combination of these numbers or does it mean like you can use only 2,3,4,5,6 to represent the number? like 23 is a valid number but 37 is not because it uses 7?
 3 years ago

3pwood Group TitleBest ResponseYou've already chosen the best response.0
I'm sure there's some fancy statistics way to do this, but thinking about it the long way... For onedigit numbers: only 3 works so 1 For two digit numbers: 3 still has to be the second digit, but any of the 5 numbers can be first, so 5 For three digit numbers: 25, by similar logic for four: 125 for five: 625 for six: 3125 so 1 + 5 + 5^2 + 5^3 + 5^4 + 5^5 = 3906 I'm not totally sure of my method. That make good sense?
 3 years ago

3pwood Group TitleBest ResponseYou've already chosen the best response.0
Oh woops, went one exponent too far. Sixdigit numbers don't qualify. so 1 + 5 + 5^2 + 5^3 + 5^4 = 781
 3 years ago

Andras Group TitleBest ResponseYou've already chosen the best response.0
but 5 is an odd number too :)
 3 years ago

3pwood Group TitleBest ResponseYou've already chosen the best response.0
Right...somehow didn't even see the 5. Apologies. What would that do?...it would mean that both 3 and 5 could be the last digit, and make for twice as many possibilities, right?
 3 years ago

Andras Group TitleBest ResponseYou've already chosen the best response.0
not sure, but I think not
 3 years ago

Andras Group TitleBest ResponseYou've already chosen the best response.0
I give up, it is too late here :) tomorrow I will give it another go if nobody solved it till then
 3 years ago

3pwood Group TitleBest ResponseYou've already chosen the best response.0
I'm relatively confident that it's 781*2 = 1562, but I know my work is pretty sloppy.
 3 years ago
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