Question

Only need help with 11.
Please show work

Answer 1

`\large\boxed{_6P_2=30}`

Explanation:

`_nP_k=(n!)/((n-k)!)\\\\n!=1\cdot2\cdot3\cdot...\cdot n\\======================\\\\_6P_2=(6!)/((6-2)!)=(6!)/(4!)=(4!\cdot5\cdot6)/(4!)\\\\\text{cancel}\ 4!\\\\=5\cdot6=30`