JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Consider the following statements: 1. The product of consecutive natural numbers is always divisible by . 2. The total number of proper positive divisors of is . 3. A pack of cards can be divided equally among four players order in ways. Which of the statement given above is/are correct?

Answer: (D)

Solution

Statement 1: the product of consecutive natural numbers is divisible by , hence by ; it is true. Statement 2: has divisors, and

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Question ID VK-020640