Question

in how many different ways can a police department arrange seven suspects in a police lineup if each lineup contains all seven people?
□ ways
(type a whole number.)

Explanation:

Step1: Use permutation formula

The number of permutations of \(n\) distinct objects is \(n!\). Here \(n = 7\).

Step2: Calculate \(7!\)

\(7!=7\times6\times5\times4\times3\times2\times1\)
\(7\times6 = 42\), \(42\times5=210\), \(210\times4 = 840\), \(840\times3=2520\), \(2520\times2 = 5040\), \(5040\times1=5040\)

Answer:

\(5040\)