Changes
From Karnataka Open Educational Resources
375 bytes added
, 10:36, 7 August 2014
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| ==Concept # 6 Combinations== | | ==Concept # 6 Combinations== |
| ===Learning objectives=== | | ===Learning objectives=== |
− | state that a combination is a selection and write the meaning of 1
| + | *State that a combination is a selection and write the meaning of <math>{^{n}}C_{r}</math> |
− | · distinguish between permutations and combinations;
| + | *Distinguish between permutations and combinations; |
− | · derive 2 | + | · derive <math>{^{n}}C_{r}</math>=<math>\frac{n!}{(n-r)!r!}</math> |
| and apply the result to solve problems; | | and apply the result to solve problems; |
− | · derive the relation 3 | + | · derive the relation <math>{^{n}}P_{r}</math>=<math>{^{n}}C_{r}Xr!</math> |
| · verify that 4 and give its interpretation | | · verify that 4 and give its interpretation |
| · derive 5 and apply the result to solve problems. | | · derive 5 and apply the result to solve problems. |
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| + | state that <math>{^{n}}P_{r}</math>=<math>\frac{n!}{(n-r)!}</math><br>and apply this to solve problems; |
| + | *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><br> |
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| ===Notes for teachers=== | | ===Notes for teachers=== |