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Choose 2 balls a, b numbered 1 to 100
a*b*10^3 = Total

Test C) a*b*10^3 = 1*10^7
a*b = 10^4 or 10,000; this is too big since it can't be made with a product of 100 and another 1 or 2 digit number (since presumably we cannot repeat 100).
Test B) a*b*10^3 = 9900*10^3
a*b = 9900
99*100 = 9900, this is our answer
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Bunuel
In a certain lottery drawing, two balls are selected at random from a container with 100 balls, numbered from 1 to 100, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?

(A) $9.85 x 10^6
(B) $9.90 x 10^6
(C) $1.00 x 10^7
(D) $1.05 x 10^7
(E) $9.90 x 10^7

The smallest possible prize is:

1,000 x 1 x 2 = 2,000

The largest possible prize is:

1,000 x 100 x 99 = 99 x 100,000 = 99 x 10^5 = 9.9 x 10^6

Answer: B
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The question could have been framed more clearly. If it explicitly stated ‘without replacement,’ then the answer would clearly be (B). As it stands, if selection were allowed with replacement, (C) could also be a possible answer
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