JEE Advanced 2019 Mathematics question

MathematicsProbabilityJEE Advanced 2019

Let denote the number of elements in a set . Let be a sample space, where each element is equally likely to occur. If and are independent events associated with , then the number of ordered pairs such that , equals

Answer: 422

Solution

Independence means , i.e. . With : : any with : pairs.

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Question ID VK-026962