Question

Evaluate the expression: 16P4A. 1,820B. 10,920C. 7,280D. 43,680

Answer 1

The permutation is defined as:

`_nP_r=(n!)/((n-r)!)`

Then in this case we have:

`\begin{gathered} _(16)P_4=(16!)/((16-4)!) \\ =(16!)/(12!) \\ =(16\cdot15\cdot14\cdot13\cdot12!)/(12!) \\ =16\cdot15\cdot14\cdot13 \\ =43680 \end{gathered}`

Therefore the answer is D.