A physical education class has 16 students. how many ways are there to create a four-person team for a game ​

Respuesta :

Answer:

1820 ways  

Explanation:

Using combination formula

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

n = 16   r= 4  

[tex]16C4=\frac{16!}{(16-4)!4!}[/tex]

[tex]16C4=\frac{16!}{(12)!4!}[/tex]

[tex]16C4=\frac{16!}{(12)!4!}[/tex]

[tex]16C4=\frac{16!}{479001600·24}[/tex]

[tex]16C4=\frac{20922789888000}{11,496,038,400}[/tex]

16С4 = 1820 ways  

Answer:

1820

Explanation:

question 2 is less than