How many different ways could 6 runners finish in 1st 2nd 3rd places in a race?
three persons who are in the first 3 positions can be selected in 6C3 ways
further these 3 can be arranged in 3! ways among themselves
Hence total possible ways = 120
How many different ways could 6 runners finish in 1st 2nd 3rd places in a race?
How many different ways can the top 6 racers in a video game finish a race if there are 12 available racers? Which counting method do you use?
How many different possible orders are there for 6 horses to finish a race if ties are possible?
21. A professor wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of 30. In how many ways can the prizes be awarded (assume no two students tie)?
17. Shown are graphs of the position functions of two runners, A and B, who run a 100-meter race and finish in a s (meters) 80 40 tie. a) Describe and compare how the runners run the race. b) At what time is the distance between the runners the greatest? At what time do they have the same velocity? c) 0 4 8 12 (seconds)
17. Shown are graphs of the position functions of two runners, A and B, who...
Suppose that 16 runners are competing in a mile-long race. Medals are awarded at the conclusion of the race to the first, second, and third place participants. How many possible ways can the medals be distributed among the runners?
Suppose 40 cars start at the Daytona 500. In how many ways can the cars place 1st, 2nd, and 3rd assuming no ties. 120 9880 59,280 243,605,634
Two runners in a 100 m race start from the same place. Runner A starts as soon as the starting gun is fired and runs at a constant speed of 8.00 m/s. Runner B isn’t really paying attention and starts running 2.0 s later and runs at a constant speed of 9.3 m/s. a. Draw a position vs time graph for each runner. b. Who wins the race? c. At the instant the winner crosses the finish line, how far...
4. Two runners in a 100 m race start from the same place. Runner A starts as soon as the starting gun is fired and runs at a constant speed of 8.00 m/s. Runner B isn't really paying attention and starts running 2.0 s later and runs at a constant speed of 9.3 m/s. a. Draw a position vs time graph for each runner. b. Who wins the race? c. At the instant the winner crosses the finish line, how...
4. Two runners in a 100 m race start from the same place. Runner A starts as soon as the starting gun is fired and runs at a constant speed of 8.00 m/s. Runner B isn't really paying attention and starts running 2.0 s later and runs at a constant speed of 9.3 m/s. a. Draw a position vs time graph for each runner. b. Who wins the race? c. At the instant the winner crosses the finish line, how...
2.[34] During an ultra-marathon, 20 runners cross the finish line between 11 am and 5 pm on race day, The number of competitors that finish at any given time during that period can be approximated using the Poisson distribution a) Suppose a photographer who is taking photos as runners finish the race wants to take a 20-minute break. What is the probability that she will miss at least one athlete finishing? [8] What is the expected number of runners who...