In how many ways, can we select a team of 4 students from a given choice of 15 students?

The number of ways to select a team of 4 students from a given choice of 15 students can be calculated using the combination formula.

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

Where:

• n is the total number of options (in this case, 15 students),
• r is the number of options to choose (in this case, 4 students),
• "!" denotes a factorial, meaning the product of all positive integers up to that number.

Step 1: Calculate n! (15!) 15! = 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Step 2: Calculate (n-r)! (15-4)! (15-4)! = 11! = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Step 3: Calculate r! (4!) 4! = 4 * 3 * 2 * 1

Step 4: Substitute these values into the combination formula C(15, 4) = 15! / [(15-4)! * 4!]

Step 5: Simplify the equation to find the answer.

This will give you the total number of ways you can select a team of 4 students from a group of 15.