Aspire Faculty ID #15386 · Topic: MAH MCA CET 2023 · Just now
MAH MCA CET 2023

Let $K$ be the set of all odd numbers less than $200$ and $M$ be the set of products of two distinct numbers taken from $K$, then find the total number which is divisible by $5$ in $M$.

Solution

Among $100$ odd numbers, $20$ are multiples of $5$. Required count $= 100 \times 20 - C(20,2) = 392$.

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