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From Karnataka Open Educational Resources
Permutations And Combinations (view source)
Revision as of 10:44, 7 August 2014
, 10:44, 7 August 2014→Learning objectives
===Learning objectives===
===Learning objectives===
*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;
<br>
*Distinguish between permutations and combinations
<br>
*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
<br>
*Derive the relation <math>{^{n}}P_{r}</math>=<math>{^{n}}C_{r} X r!</math>
*Derive the relation <math>{^{n}}P_{r}</math>=<math>{^{n}}C_{r} X r!</math>
<br>
*Verify that <math>{^{n}}C_{n}</math>=<math>{^{n}}C_{n-r}</math> and give its interpretation
*Verify that <math>{^{n}}C_{n}</math>=<math>{^{n}}C_{n-r}</math> and give its interpretation
<br>
*Derive <math>{^{n}}C_{r} + ^{n}C_{n-r}</math>=<math>{^{n+1}}C_{r}</math> 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.
