Question
If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.
262
likes1308 views
Answer to a math question If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.
Miles
4.9116 Answers
We are given 8 teams (objects) to arrange them in 3 places in different ways. We are asked to calculate the permutations of 8 different things taken 3 at a time. This will be given by :
^8P_3=\frac{8^{}!}{\left(8-3\right)!}=\frac{8!}{5!}
=8\times7\times6
=336
So, we can arrange the 8 teams in 336 different ways to 1st, 2nd and 3rd position.
Frequently asked questions (FAQs)
What is the measure of an angle in a triangle if the sum of the other two angles is 90 degrees?
+
Question: What is the equation of the exponential function that passes through the point (2, 5) and has a horizontal asymptote of y = 3?
+
What is the average number of hours spent on social media per day by a group of 50 people?
+
New questions in Mathematics