Question

A class has 35 students.in how many different ways can five form a group for an activity

Answer 1

Answer:

324,632 possible combinations

Step-by-step explanation:

We are looking for the amount of combinations of 5 students we can have in a class of 35 students. We write this as 35_C_5. The formula for finding the number of combinations of x objects from a set of y objects is x_C_y = $\frac{x!}{y!*(x - y)!}$.

Then we have:

35_C_5 = $\frac{35!}{5!*(30!)}$

$\frac{1.0333148*10 ^40}{120*2.6525286*10^32}$ --- expand

$\frac{1.0333148*10^40}{3.1830343*10^34}$ --- simplify

324,632 --- simplify

324,632 possible combinations