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How many ways can a student pick five questions from an exam containing eleven questions?
There are ways to pick five questions from an exam containing eleven questions.
So, there are \(\boxed{462}\) ways to pick five questions from an exam containing eleven questions.
Step 1 :This problem is about finding the number of ways a student can pick five questions from an exam containing eleven questions. This is a combination problem because the order in which the questions are chosen does not matter.
Step 2 :We can use the combination formula to solve this problem. The combination formula is \(nCr = \frac{n!}{(n-r)! * r!}\), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.
Step 3 :In this case, n is 11 (the total number of questions) and r is 5 (the number of questions to choose).
Step 4 :Substituting these values into the combination formula, we get \(11C5 = \frac{11!}{(11-5)! * 5!}\).
Step 5 :Calculating this gives us a result of 462.0.
Step 6 :So, there are \(\boxed{462}\) ways to pick five questions from an exam containing eleven questions.