Evaluate {9}^p{3} {9}^c{6}

Question

Evaluate 



`{9}^p{3}`

`{9}^c{6}`

Answer 1

you know, if you check your calculator, it has a [ ₙPᵣ ] and also an [ ₙCᵣ ] button, and you could use that, now, if you want the factorial version,


`\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad \qquad _nC_r=\cfrac{n!}{r!(n-r)!} \\\\\\ _9P_3=\cfrac{9!}{(9-3)!}\qquad \qquad \qquad \qquad _9C_6=\cfrac{9!}{6!(9-6)!}`