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SEAMO 2027 - Paper F - SET 09 - Self-study Question 10

SEAMO · SEAMO 2027 - Paper F - SET 09 - Self-study

Question 10

Positive integers $a,b,c$ are selected randomly from $\{1,2,\ldots,2020\}$ with replacement. Find the probability that $abc+ab+2a$ is divisible by 5.

Answer entry: use a reduced fraction a/b or a decimal with a dot, without spaces. Only explicitly listed exact forms are recognized; equivalent forms outside that list require manual checking and must not be treated as wrong or scored zero solely for nonrecognition. No symbolic fraction parser is claimed.