fatimalandau4799 fatimalandau4799
  • 22-04-2018
  • Mathematics
contestada

In a race in which six automobiles are entered, how many ways can the first 4 finishers come in?

Respuesta :

konrad509
konrad509 konrad509
  • 12-08-2018

The order matters.

[tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order matters, in [tex] P(n,k)=\dfrac{n!}{(n-k)!} [/tex] ways.

So the answer is [tex] P(6,4)=\dfrac{6!}{2!}=3\cdot4\cdot5\cdot6=360 [/tex] ways.

Answer Link

Otras preguntas

what are the 3 types of catalyst?
What is the sum of the angle measures of a 37-gon?
How does the zero product property help you find the x-intercept of y = x² - x - 12?
Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month than the month before. She ended
photocopier breakdowns 2011
in a few generations, this population of beetles changed. which is the most likely explanation for the change
One of water’s unique properties is that it has strong surface tension. What do you predict would happen if water had weak surface tension? Insects would not
If an object is dropped from a height of 144 ft, the function h(t) = –16t² + 144 gives the height of the object after t seconds. When will the object hit the gr
Which statement applies to the electron at state 2? a) It is at a lower energy level than the ground state. b) It possesses less energy than the ground state. c
merlin worked these hours during the week: 4.5, 8.75, 9.5, 9, and 4.25 hours. what was his gross pay for the week, if he makes $9.78 an hour?