SOLUTION: The organizer of a television show must select 5 people to participate in the show. that participants will be selected from a list of 26 people who have written in to the show. if

Algebra ->  Probability-and-statistics -> SOLUTION: The organizer of a television show must select 5 people to participate in the show. that participants will be selected from a list of 26 people who have written in to the show. if       Log On


   



Question 667346: The organizer of a television show must select 5 people to participate in the show. that participants will be selected from a list of 26 people who have written in to the show. if the participants are selected randomly, what is the probability that the 5 youngest people wil be selected?
not sure if this is 6! or do I have to use 8!(8-6!) =8!/2!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for combinations is generally 26C5=n%21+%2F+%28r%21+%28n+-+r%29%21%29, where+n is the total number of possibilities to start and r is the number of selections made.
In our example, we have 26 people; therefore, n+=+26.
We want to select 5 youngest people, so r+=+5}.

26%21+%2F+%285%21%2826+-+5%29%21%29
26%21+%2F+%285%21+%2821%29%21%29





26%2A5%2A23%2A22=+65780+

if there are exactly 5 youngest people and if they were all selected, the probability is
5%2F26C5+=+5%2F65780=0.000076011