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Seven Olympic sprinters are eligible to compete in the 4 x 100 m relay race for...

  1. Seven Olympic sprinters are eligible to compete in the 4 x 100 m relay race for the USA Olympic team.
    1. Does order matter in this situation? Explain why or why not.
    2. How many four-person relay teams can be selected from among the seven athletes?  
math   Statistics-And-Probability   
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Answer #1

Order is not important in choosing the team members, so the possibilities can be counted by evaluating 7C4.We can choose any 4 from the 7 sprinters. If the sprinters are chosen in 7*6*5 *4=840 ways, this combination of (1st sprinter, 2nd sprinter, 3rd sprinter, 4th sprinter)again can come in 4! ways. Hence, (7*6*5*4)/4!=35 ways.

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