Mark’s clothing store uses a bar-code system to identify every item. Each item is marked by a combination of 2 letters followed by 3 digits. Additionally, the three-digit number must be even for male products and odd for female products. If all apparel products start with the letter combination AP, how many male apparel items can be identified with the barcode?
A) 100
B) 405
C) 500
D) 729
E) 1000
OA C
Source: Veritas Prep
Mark’s clothing store uses a bar-code system to identify every item. Each item is marked by a combination of 2 letters
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Total number of ways of selecting the first digit: \(10 ( 0-10)\)BTGmoderatorDC wrote: ↑Thu Jun 16, 2022 6:51 amMark’s clothing store uses a bar-code system to identify every item. Each item is marked by a combination of 2 letters followed by 3 digits. Additionally, the three-digit number must be even for male products and odd for female products. If all apparel products start with the letter combination AP, how many male apparel items can be identified with the barcode?
A) 100
B) 405
C) 500
D) 729
E) 1000
OA C
Source: Veritas Prep
Total number of ways of selecting the second digit: \(10 (0-10)\)
Total number of ways of selecting the third digit: \(5 (0,2,4,6,8)\)
Total number of ways: \(10 \times 10 \times 5 = 500\) ways
Therefore, C