[Tournaments and tournament tables] $]$

In the Russian Football Championship, 16 teams participate. Each team plays 2 matches against each of the others.

a) How many matches should "Uralan" play in a season?

b) How many matches are played in total in one season?
a) "Uralan" must play twice against each of the remaining 15 teams, therefore, over the season, it must play $2 \cdot 15=30$ matches.

b) First method. Each of the 16 teams must play 30 matches. Since each match is counted twice, the total number of matches played over the season is $16 \cdot 30: 2=240$.

Second method. Each of the 16 teams must play 15 matches at home. Therefore, the total number of matches is $16 \cdot 15=240$.

## Answer

a) 30 matches; b) 240 matches.