Question

9 students volunteer for a committee. How many different 7-person committees can be chosen? 1 181,440 362,880 36

Answer 1

its 36. use the type A!/B!(A-B)! 

Answer 2

The correct answer is D. 36

Explanation:

Number of students volunteer available for the committee = 9

Capacity of the committee which is to be formed = 7

So, We need to select a committee of 7 peoples

Thus, we need to find the total number of different ways in which 7 peoples can be selected from the total number of 9 peoples.

`\text{Number of different 7-persons committee which can be chosen = }_7^9\txterm{C}\\\\\text{Number of different 7-persons committee which can be chosen = } (9!)/(7!* 2!)\\\\\text{Number of different 7-persons committee which can be chosen = }(9* 8)/(2)\\\\\text{Number of different 7-persons committee which can be chosen = }36`

Therefore, The correct answer is D. 36