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.

Solution

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.

From Solvely APP
Source: https://solvelyapp.com/problems/15674/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download