Question

Use formula nPr and evaluate the expression 8P6=

Answer 1

This formula denotes the permutations of 8 total objects selected in a group of 6 and its equal to

`\begin{gathered} 8P6=(8!)/((8-6)!) \\ \end{gathered}`

since 8-6=2, we get

`8P6=(8!)/(2!)`

which is equal to

`\begin{gathered} 8P6=(8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)/(2\cdot1) \\ 8P6=20160 \end{gathered}`

then, the answer is 20160