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

User Morecore
by
8.5k points

1 Answer

6 votes

Answer:

324,632 possible combinations

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 =
(x!)/(y!*(x - y)!).

Then we have:

35_C_5 =
(35!)/(5!*(30!))


(1.0333148*10 ^40)/(120*2.6525286*10^32) --- expand


(1.0333148*10^40)/(3.1830343*10^34) --- simplify

324,632 --- simplify

324,632 possible combinations


User Chris Kline
by
8.9k points

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