From 12 students, in how many ways you can select four members of the committee?Group of answer choices480485490495

The problem can be solved using the combination formula. The combination formula is used when the order of selection does not matter.

The formula is: C(n, r) = n! / [(r!(n - r)!)]

Where:

• n is the total number of options,
• r is the number of options to choose,
• "!" denotes a factorial, meaning the product of all positive integers up to that number.

In this case, you have 12 students (n = 12) and you want to select 4 students (r = 4).

So, the calculation would be:

C(12, 4) = 12! / [(4!(12 - 4)!)]

= (121110987654321) / [(4321)(87654321)]

= (1211109) / (4321)

= 495

So, there are 495 ways to select 4 members of the committee from 12 students.