Problem 67
Question
In how many ways can these six jokes be ranked from best to worst?
Step-by-Step Solution
Verified Answer
The six jokes can be ranked in 720 ways.
1Step 1: Understand the Problem
We are asked to find the number of ways to order or rank 6 different jokes. This is a permutations problem.
2Step 2: Calculate permutation
The total number of permutations without repetition for n objects is given by \(n!\). Here \(n = 6\), the total jokes. So we have to calculate the factorial of 6: \(6!\) = 6 * 5 * 4 * 3 * 2 * 1.
3Step 3: Simplification
After executing the multiplication, the result is: \(6!\) = 720.
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