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Permo Combo continues 8

by maihuna » Mon Aug 10, 2009 8:19 am
find the sum of all numbers greater than 10000 formed by using the digits 0,2,4,6,8 no digit being repeated in any number.

2666640
5199960
5333280
6455580
7878780
Charged up again to beat the beast :)
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by prindaroy » Mon Aug 10, 2009 11:06 am
I would go with B.

Reason for that is;

2 _ _ _ _ = 24 different possibilities. The average of all such numbers would be close to 25,000.

4 _ _ _ _ = 24, average approx. 45,000

6 _ _ _ _ = 24. average approx. 65,000

8 _ _ _ _ = 24. average approx. 85,000

so 24(25000 + 45000 + 65000 + 85000) = 5160000 which is closest to B
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by prindaroy » Mon Aug 10, 2009 12:54 pm
just created a macro on excel to test the answer; and it comes to 5199960; The thing is; for all numbers beginning with 2, the average is 25000, but for all numbers beginning with 4, the average is less than 45000, and for all numbers beginning with 6, the average is even less than 65000 and for all numbers beginning with 8, it is less than 85000 by an amount greater than for 65000 or the others. It's an interesting question, though highly unlikely on the actual gmat.
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