How to solve IPMAT 2024 - Quantitative Aptitude Question 34?

This question can be solved by applying the core concept explained in the solution above, followed by step-by-step calculation and elimination of options.

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This question tests fundamental concepts commonly asked in IIM IPMAT exams.

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IPMAT 2024 - Quantitative Aptitude Question 34

This is a detailed step-by-step solution for IPMAT 2024 - Quantitative Aptitude Question 34. Understand the concept, common mistakes, and expert tips to solve similar questions in IIM IPMAT exam.

IPMAT 2024 - Quantitative Aptitude

Th given expression can also be written as ^17−xC_3x+1.
At x = 0, we get ¹⁷C₁ (an integer)
At x = 1, we get ¹⁶C₄ (an integer)
At x = 2, we get ¹⁵C₇ (an integer)
At x = 3, we get ¹⁴C₁₀ (an integer)
At x = 4, we get ¹³C₁₃ (an integer)
At x = 5, we get ¹²C₁₆ (the expression is not defined)
After putting x = 5 or more, the expression will not be defined.
So, x can take only 5 values i. e. 0, 1, 2, 3, 4.

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