Respuesta :
Answer:
[tex]286[/tex]
Step-by-step explanation:
GIVEN: In a certain lottery, [tex]3[/tex] different numbers between [tex]1[/tex] and [tex]13[/tex] inclusive are drawn. These are the winning numbers.
TO FIND: How many different selections are possible.
SOLUTION:
Total different numbers [tex]=13[/tex]
Total number to select [tex]=3[/tex]
As order does not matter
Total different selection possible [tex]=13C_3[/tex]
[tex]=\frac{13!}{10!3!}[/tex]
[tex]=\frac{13\times12\times11}{6}[/tex]
[tex]=286[/tex]
There are [tex]286[/tex] ways in which different selection is possible.
