Provide an appropriate response
-A four dimensional simplex $S ^ { 4 }$ has how many 2 -faces?
A) 15
B) 10
C) 5
D) 4

Name: Provide an appropriate response -A four dimensional simplex $S ^ { 4 }$ has how many 2 -faces? A) 15 B) 10 C) 5 D) 4
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Question

Quizplus · Accepted Answer

A four-dimensional simplex, also known as a 5-cell or pentachoron, has 10 2-faces. The formula for calculating the number of k-faces in an n-simplex is given by the binomial coefficient $C(n+1, k+1)$, so for 2-faces in a 4-simplex, it's $C(5, 3) = 10$.

Provide an Appropriate Response -A Four Dimensional Simplex S4S ^ { 4 }S4

Provide an Appropriate Response
-A Four Dimensional Simplex $S ^ { 4 }$