A group of 6 students is to be chosen from a 35 -member class to represent the class on the student council. How many ways can this be done? (NOTE: Order of the selection is not important.) Answer: ways

Step 1 ：This problem is about combinations. We are asked to find the number of ways to choose 6 students from a class of 35 to represent the class on the student council. The order in which we choose the students does not matter.

Step 2 ：The formula for combinations is \(C(n, k) = \frac{n!}{k!(n-k)!}\), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.

Step 3 ：In this case, n = 35 and k = 6.

Step 4 ：Substituting these values into the formula, we get \(C(35, 6) = \frac{35!}{6!(35-6)!}\).

Step 5 ：Calculating this gives us a total of 1623160 ways.

Step 6 ：So, the final answer is \(\boxed{1623160}\). There are 1623160 ways to choose 6 students from a 35-member class to represent the class on the student council.