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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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

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BTGmoderatorDC wrote:
Thu Jun 16, 2022 6:51 am
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
Total number of ways of selecting the first digit: \(10 ( 0-10)\)

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