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For a segment of a radio show, a disc jockey can play 10 records. there are 14 records to select from, in how many ways can the program for this segment be arranged?

Respuesta :

merlynthewhizz
The formula of combination is 

[tex]nCr= \frac{n!}{(n-r)!r!} [/tex]

We have [tex]n=14[/tex] and [tex]r=10[/tex]

[tex]14C10= \frac{14!}{(14-10)!10!} = 1001[/tex]

Hence, there are 1001 ways of arranging 10 records from 14 records 
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