Question

There are 21 students in a class, and 6 of them will be chosen to go on a field trip. How many ways can these students be chosen?

Answer 1

54264

Explanation:

We can calculate the number of times by means of the combinations.

`_nC_r=(n!)/(r!\cdot(n-r)!)`

In this case r = 6 and n = 21, we replace:

`\begin{gathered} _(21)C_6=(21!)/(6!\cdot(21-6)!) \\ _(21)C_6=54264 \end{gathered}`

There are 54264 different ways to choose students