100 m SprintDiscrete Mathematics Level 4
The following 8 sprinters will participate in a fictitious 100 m sprint:
Usain Bolt: Jamaica,
Asafa Powell :Jamaica,
Tyson Gray :USA,
Richard Thompson :Trinidad and Tobago,
Donovan Bailey: Canada,
Olusoji Fasuba: Nigeria, and
Frankie Fredericks: Namibia
If the TWO rules below need to be followed, how many different lane assignments are possible?
- NO two sprinters from the same country can be in adjacent lanes.
- The outside lanes ( 1 and 8) can't be occupied by sprinters from the same country.