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Permutations And Combinations
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Revision as of 10:36, 7 August 2014
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10:36, 7 August 2014
→Learning objectives
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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.
+
+
+
+
+
+
+
+
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===
Habeebbasha
180
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