Evaluate using Pascal's triangle. ${ } _ { 7 } C _ { 4 }$
A) ${ } _ { 7 } C _ { 4 } = 840$
B) ${ } _ { 7 } C _ { 4 } = 70$
C) ${ } _ { 7 } C _ { 4 } = 126$
D) ${ } _ { 7 } C _ { 4 } = 15$
E) ${ } _ { 7 } C _ { 4 } = 35$

Question

Evaluate using Pascal's triangle.   ${ } _ { 7 } C _ { 4 }$  
A) ${ } _ { 7 } C _ { 4 } = 840$
B) ${ } _ { 7 } C _ { 4 } = 70$
C) ${ } _ { 7 } C _ { 4 } = 126$
D) ${ } _ { 7 } C _ { 4 } = 15$
E) ${ } _ { 7 } C _ { 4 } = 35$

Quizplus · Accepted Answer

${ } _ { 7 } C _ { 4 }$ represents the number of ways to choose 4 items out of 7, which corresponds to the 5th entry in the 8th row of Pascal's Triangle (counting starts from 0), which is 35.

Evaluate Using Pascal's Triangle 7C4{ } _ { 7 } C _ { 4 }7​C4​

Evaluate Using Pascal's Triangle ${ } _ { 7 } C _ { 4 }$