grainflow wrote:
Bunuel wrote:
Official Solution:
How many odd three-digit integers greater than 800 are there such that all their digits are different?
A. 40
B. 56
C. 72
D. 81
E. 104
In the range 800 - 900:
1 choice for the first digit: 8;
5 choices for the third digit: 1, 3, 5, 7, 9 (since integer must be odd);
8 choices for the second digit: 10 digits - first digit - third digit = 8 digits.
\(1*5*8 = 40\)
In the range 900 - 999:
1 choice for the first digit:
How many odd three-digit integers greater than 800 are there such that all their digits are different?
A. 40
B. 56
C. 72
D. 81
E. 104
In the range 800 - 900:
1 choice for the first digit: 8;
5 choices for the third digit: 1, 3, 5, 7, 9 (since integer must be odd);
8 choices for the second digit: 10 digits - first digit - third digit = 8 digits.
\(1*5*8 = 40\)
In the range 900 - 999:
1 choice for the first digit:
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