Question

Evaluate ${}^{59}{P}_3$ and ${}^{75}{P}_2$

• A. $195052,5530$
• B. $195053,5540$
• C. $195054,5550$
• D. $185055,5560$

Answer 1

The correct option is C $195054,5550$

We know ,

${\Rightarrow }^n{P}_r=\frac{n!}{(n-r)!}{\Rightarrow }^{59}{P}_3=\frac{59!}{56!}\Rightarrow 59\times 58\times 57\Rightarrow 195054{\Rightarrow }^{75}{P}_2=\frac{75!}{73!}\Rightarrow 75\times 74\Rightarrow 5550$