A group of 10 people is choose a chairperson and vice-chairperson. They put all 10 peoples names into a bar. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there ?
This is calculated using the Permutation formula
nPr = n!/(n - r)!
Where:
n = 10 people
r = 2 = 2 positions to be filled , Chairman and Vice chairman
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.
We see from the attached, that kite area = product of the diagonals / 2 The diagonals could be 12 by 8 or 6 by 16 or 3 by 32, etc It cannot be narrowed down any further.
