Question

a) A group of 50 people are going to run a race. The top three runners earn gold, silver, and bronze medals. b) Creating a nine player batting order from the 14 players on the baseball team. c) There are 30 applicants for four Software Tester positions.

Answer 1

a) n (No. of peoples) = 50

r (No. of prizes) = 3

p(n,r) = p (50,3)

`\begin{gathered} P(n,r)=(n!)/((n-r)!) \\ P(50,3)=(50!)/((50-3)!) \\ =117600 \end{gathered}`

b) n(No. of players)=14

r (No. of players for Batting)=9

`\begin{gathered} P(14,9)=(14!)/((14-9)!) \\ =726485760 \end{gathered}`

c)n(Total applicants)=30

r(tester positions)=4

`\begin{gathered} P(30,4)=(30!)/((30-4)!) \\ \text{ =}(30!)/(26!) \\ \text{ =657720} \end{gathered}`