Changes
From Karnataka Open Educational Resources
138 bytes removed
, 10:43, 7 August 2014
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| *State that a combination is a selection and write the meaning of <math>{^{n}}C_{r}</math> | | *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 <math>{^{n}}C_{r}</math>=<math>\frac{n!}{(n-r)!r!}</math>
| + | *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 <math>{^{n}}P_{r}</math>=<math>{^{n}}C_{r}Xr!</math>
| + | *Derive the relation <math>{^{n}}P_{r}</math>=<math>{^{n}}C_{r} X r!</math> |
− | · verify that 4 and give its interpretation
| + | *Verify that <math>{^{n}}C_{n}</math>=<math>{^{n}}C_{n-r}</math> and give its interpretation |
− | · derive 5 and apply the result to solve problems.
| + | *Derive <math>{^{n}}C_{r} + ^{n}C_{n-r}</math>=<math>{^{n+1}}C_{r}</math> 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;
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− | *show that | |
− | #<math>{(n+1)^{n}}P_{n}</math>=<math>{^{n+1}}P_{n}</math><br>
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− | #<math>{^{n}}P_{r+1}</math>=<math>{(n-r)^{n}}P_{r}</math><br>
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| ===Notes for teachers=== | | ===Notes for teachers=== |