Question
Download Solution PDFIn how many ways can a student choose (n - 2) courses out of n courses if 2 courses are compulsory (n > 4)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given,
Number of courses, n > 4
The student needs to choose (n - 2) courses out of n courses, with 2 courses being compulsory
∴Total courses is n – 2 and total remaining courses that can be chosen from (n – 2) courses is ( n – 4).
∴ Required number of ways (n-2) C (n-4).
⇒ \(\frac{(n-2)(n-3)}{2}\)
∴ Option d is correct.
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