Permutation Activity 1
Objectives
Students will be able to calculate a factorial and permutation using a formula.
Students will understand what factorials and permutation are.
Estimated Time
Prerequisites/Instructions, prior preparations, if any
Materials/ Resources needed
Counting Sticks (Match sticks), Paper, Pencil
Process (How to do the activity)
Problem
Say, three people are eligible to win two distinct prizes.
Method
Now the students can reason this out. They can use the counting sticks to solve this simple permutation. They can use certain colours to distinguish the participants, who won, who didn’t. They can also write the three names on a sheet of paper and use three colours for winners and losers as shown below.
Win 1 Prize (W1) Win 2 Prize (W2) Loss (LS)
Shariff |
W1 |
W1 |
W2 |
LS |
W2 |
LS |
Ashwini |
W2 |
LS |
W1 |
W1 |
LS |
W2 |
Rakesh |
LS |
W2 |
LS |
W2 |
W1 |
W1 |
Extend this problem by asking the students how 10 people can win 4 prizes. This will be difficult to do manually and hence the formula will need to be used.
Evaluation at the end of the activity
Student tries to solve the following problem. First tries it in a table with 3 office positions and 3 members then uses the formula.
A SDMC elects a president, vice-president, and secretary. How many sets of officers are possible if there are 15 members and any member can be elected to each position ? No person can hold more than one position.
Answer : 2730