kennedyknight20 kennedyknight20
  • 25-02-2020
  • Mathematics
contestada

How many ways can 10 people be seated on a bench if only four seats are available

Respuesta :

joaobezerra joaobezerra
  • 25-02-2020

Answer:

5040 ways

Step-by-step explanation:

Different orders in which people are seated are different outcomes. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

10 people on four seats

[tex]P_{(10,4)} = \frac{10!}{(10-4)!} = 5040[/tex]

5040 ways.

Answer Link

Otras preguntas

jessie sorted the coins in her bank. she made 7 stacks of 6 dimes and 8 stacks of 5 nickels. she then found 1 dime and 1 nickel. how many dimes and nickels does
The scientific term for a living thing is
Multicellular organisms can be organized into what other levels?
Why is gravity an example of scientific law?
What could you call an unemployed movie star
is 5/12 bigger than 3/7
what do you think was the greatest scientific advance of the Hellenistic period? why?
adam used the three fraction s to make a circle graph and colored each a different color. what fraction of the graph is not colored?
the area where rock under stress breaks and triggers an earthquake is called the ___________
What is the difference between proper and common adjectives?