Changes
From Karnataka Open Educational Resources
33 bytes added
, 10:47, 7 August 2014
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| ==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; | + | <br> |
− | *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> | + | <br> |
− | #<math>{^{n}}P_{r+1}</math>=<math>{(n-r)^{n}}P_{r}</math><br> | + | *Show that |
| + | <br> |
| + | #<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=== |