Problem

Part: 0 / 2
Part 1 of 2
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.

Answer

Expert–verified
Hide Steps
Answer

So, there are \(\boxed{462}\) ways to pick five questions from an exam containing eleven questions.

Steps

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.

link_gpt