In how many ways, can we select a team of 4 students from a given choice of 15 students?Choices:- 1234 1364 1365 1563

The problem is asking for the number of combinations of 4 students that can be selected from a group of 15. This is a combinatorics problem, specifically a combination problem, since the order in which we select the students does not matter.

The formula for combinations is:

C(n, k) = n! / [k!(n-k)!]

where:

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

Substituting the given values into the formula:

C(15, 4) = 15! / [4!(15-4)!] = 15! / (4! * 11!) = (15 * 14 * 13 * 12) / (4 * 3 * 2 * 1) = 1365

So, there are 1365 ways to select a team of 4 students from a group of 15. Therefore, the correct choice is 1365.