Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-
[tex]C(n,r)=\dfrac{n!}{(n-r)!r!}[/tex]
Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-
[tex]C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506[/tex]
Hence, the committee can be made in 142506 ways.
