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Line 113: − state that a combination is a selection and write the meaning of 1+ − · distinguish between permutations and combinations;+ − + − + + + + + + + + + + + +
Permutations And Combinations (view source)
Revision as of 10:36, 7 August 2014
, 10:36, 7 August 2014→Learning objectives
==Concept # 6 Combinations==
==Concept # 6 Combinations==
===Learning objectives===
===Learning objectives===
*State that a combination is a selection and write the meaning of <math>{^{n}}C_{r}</math>
*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.
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>
===Notes for teachers===
===Notes for teachers===