Changes

==Concept # 3 Permutations==

==Concept # 3 Permutations==

===Learning objectives===

===Learning objectives===

*state that permutation is an arrangement and write the meaning of

*State that permutation is an arrangement and write the meaning of <math>{^{n}}P_{r}</math>

*state that <math>{^{n}}P_{r}</math>=<math>\frac{n!}{(n-r)!}</math><br>and apply this to solve problems;

*show that

*State that <math>{^{n}}P_{r}</math>=<math>\frac{n!}{(n-r)!}</math> and apply this to solve problems

#<math>{(n+1)^{n}}P_{n}</math>=<math>{^{n+1}}P_{n}</math><br>

#<math>{^{n}}P_{r+1}</math>=<math>{(n-r)^{n}}P_{r}</math><br>

*Show that

#<math>{(n+1)^{n}}P_{n}</math>=<math>{^{n+1}}P_{n}</math>

<br>

#<math>{^{n}}P_{r+1}</math>=<math>{(n-r)^{n}}P_{r}</math>

===Notes for teachers===

===Notes for teachers===