Answer:
The correct answer is D. 36
Step-by-step 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.
[tex]\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 = } \frac{9!}{7!\times 2!}\\\\\text{Number of different 7-persons committee which can be chosen = }\frac{9\times 8}{2}\\\\\text{Number of different 7-persons committee which can be chosen = }36[/tex]
Therefore, The correct answer is D. 36
