Question

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

Answer 1

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

Answer 2

Answer: 38,760

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

`^(20)C_6=(20!)/(6!(20-6)!)\\\\=(20\cdot19\cdot18\cdot17\cdot16\cdot15\cdot14!)/(6!14!)=38,760`

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