Additional Concepts
-$$\frac { 11 ^ { P _ { 3 } } } { 3 ! } - 11 C _ { 3 }$$
A) 0
B) 6
C) $39,916,800$
D) 40,320

Name: Additional Concepts -\[\frac { 11 ^ { P _ { 3 } } } { 3 ! } - 11 C _ { 3 }\] A) 0 B) 6 C) $39,916,800$ D) 40,320
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The expression simplifies to 0 because both terms represent the number of ways to choose 3 items out of 11, but the first term overcounts by a factor of 3! (the number of ways to arrange 3 items), which exactly cancels out when subtracted.

Additional Concepts - 11P33!−11C3\frac { 11 ^ { P _ { 3 } } } { 3 ! } - 11 C _ { 3 }3!11P3​​−11C3​

Additional Concepts
- $\frac { 11 ^ { P _ { 3 } } } { 3 ! } - 11 C _ { 3 }$