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Help!! Please
An artist wants to create a poster that includes a picture of the winners of
the 1500-meter race at the Olympics from 1896 to 2000. If a man has won
the race more than once, his picture will only appear once. The pictures will
be laid out in columns and rows, and they will be placed randomly. The top
row will contain four pictures. What is the probability that the top row will
include Josy Barthel of Luxembourg, Teddy Flack of Australia, Noah Negeny
of Kenya, and Jim Lightbody of the United States?

Help Please An Artist Wants To Create A Poster That Includes A Picture Of The Winners Of The 1500meter Race At The Olympics From 1896 To 2000 If A Man Has Won T class=

Sagot :

Using the combination formula, it is found that there is a [tex]p = \frac{1}{1540}[/tex] probability of the desired top row.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

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

Looking at the table, there are 22 different winners, and 3 will be selected for the total row, hence the total number of options is given by:

[tex]T = C_{22,3} = \frac{22!}{3!19!} = 1540[/tex].

There is only one desired combination, as the order does not matter, hence the probability is given by:

[tex]p = \frac{1}{1540}[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

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