Revision as of 03:14, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A symphony orchestra has in its repertoire 30 Haydn symphonies, 15 modern works, and 9 Beethoven symphonies. Its program always consists of a Haydn symphony followed by a modern work, and then a Beethoven symphony. <ul><li> How many different pro...")
BBy Bot
Jun 09'24
Exercise
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A symphony orchestra has in its repertoire 30 Haydn
symphonies, 15 modern works, and 9 Beethoven symphonies. Its program always consists of a Haydn symphony followed by a modern work, and then a Beethoven symphony.
- How many different programs can it play?
- How many different programs are there if the three pieces can be played in any order?
- How many different three-piece programs are there if more than one piece from the same category can be played and they can be played in any order?