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There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selecting 6 students from student council. How many possible committees can be formed? 720 38,760 4,651,200 27,907,200

Respuesta :

It's B my dude.
38,760 final answer its lit.
JeanaShupp

Answer: 38,760

Step-by-step explanation:

Given: Total number of students = 20

The number of students selected from student council= 6

The number of  possible committees can be formed will be given by using combinations , we get

[tex]^{20}C_6=\frac{20!}{6!(20-6)!}\\\\=\frac{20\cdot19\cdot18\cdot17\cdot16\cdot15\cdot14!}{6!14!}=38,760[/tex]

Hence, The number of  possible committees can be formed= 38,760

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