Additional Concepts
-$$\frac { 9 ^ { P _ { 3 } } } { 3 ! } - 9 C _ { 3 }$$
A) 0
B) 6
C) 362,880
D) 720

Question

Quizplus · Accepted Answer

The expression simplifies to 0 because $9P_3$ represents the number of permutations of 9 items taken 3 at a time, which is $\frac{9!}{(9-3)!} = \frac{9!}{6!}$, and $9C_3$ represents the number of combinations of 9 items taken 3 at a time, which is $\frac{9!}{3!6!}$. When you simplify the given expression, both terms actually represent the same value, leading to their difference being 0.

Additional Concepts - 9P33!−9C3\frac { 9 ^ { P _ { 3 } } } { 3 ! } - 9 C _ { 3 }3!9P3​​−9C3​

Additional Concepts
- $\frac { 9 ^ { P _ { 3 } } } { 3 ! } - 9 C _ { 3 }$