MHT CET 2022 Mathematics question

MathematicsProbabilityMHT CET 2022

If three distinct number are chosen randomly from first 100 natural numbers, then the probability that all three of them are divisible by both 2 and 3 is

Answer: (C)

Solution

A number divisible by both 2 and 3 is divisible by 6. Among 1 to 100 there are such numbers. Total ways of choosing 3 numbers: . Favourable ways: .

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Question ID VK-094202