| (a) |
Develop and apply strategies, such as lists or tree diagrams, to determine the total number of choices or arrangements possible in a situation. |
| (b) |
Explain why the total number of possible choices is found by multiplying rather than adding the number of ways that individual choices can be made. |
| (c) |
Provide examples of situations relevant to self, family, and community where the fundamental counting principle can be applied to determine the number of possible choices or arrangements. |
| (d) |
Create and solve situational questions that involve the application of the fundamental counting principle. |
| (e) |
Count, using graphic organizers, the number of ways to arrange the elements of a set in a row. |
| (f) |
Develop, generalize, explain, and apply strategies, including the use of factorial notation, to determine the number of permutations possible if n different elements are taken n or r at a time. |
| (g) |
Explain why $n$ must be greater than or equal to $r$ in the notation $_nP_r$. |
| (h) |
Solve equations that involve $_nP_r$ notation such as $_nP_2=30$. |
| (i) |
Develop, generalize, explain, and apply strategies for determining the number of permutations possible when two or more elements in the set are identical (non-distinguishable). |
