The number of ways that 4 students can be selected from 30 students in a class to fill 4 seats (if order matters) is $\frac{30 \cdot 29 \cdot 28 \cdot 27}{4 \cdot 3 \cdot 2 \cdot 1}$

Question

Quizplus · Accepted Answer

The formula given is for combinations where order does not matter, but the question specifies that order does matter, which is a permutation. The correct formula for permutation should be $30 \cdot 29 \cdot 28 \cdot 27$ without dividing by $4 \cdot 3 \cdot 2 \cdot 1$.

The Number of Ways That 4 Students Can Be Selected 30⋅29⋅28⋅274⋅3⋅2⋅1\frac{30 \cdot 29 \cdot 28 \cdot 27}{4 \cdot 3 \cdot 2 \cdot 1}4⋅3⋅2⋅130⋅29⋅28⋅27​

The Number of Ways That 4 Students Can Be Selected $\frac{30 \cdot 29 \cdot 28 \cdot 27}{4 \cdot 3 \cdot 2 \cdot 1}$