Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

There are 18 football teams in a league,
Each team plays two matches against each of the other teams,
Work out the total number of matches played,

Sagot :

rhyscain

Answer:

306

Step-by-step explanation:

18x17=306

The total number of matches played by the teams will be given by using permutation is 306.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

There are 18 football teams in a league.

Each team plays two matches against each of the other teams.

Then the total number of matches played by the teams will be given by the permutation.

[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]

We have

n = 18

r = 2

Then

[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.