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
4.9114 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)
Math Question: How many different 4-digit numbers can be formed using the digits 1, 2, 3, and 4 without repetition?
+
Question: Find the measure of a smaller angle formed by a ray bisecting a given angle of 120 degrees.
+
Question: "Graph the exponential function f(x) = 3^(x+2) - 2 and identify its x-intercept.
+
New questions in Mathematics