Evaluate the binomial coefficient 15 C 13 { } _ { 15 } C _ { 13 } 15 C 13 .A) 120 120 120 B) 300 300 300 C) 118 118 118 D) 317 317 317 E) 105 105 105

Question

Evaluate the binomial coefficient   15 C 13 { } _ { 15 } C _ { 13 } 15 ​ C 13 ​   .A)    120 120 120 B)    300 300 300 C)    118 118 118 D)    317 317 317 E)    105 105 105

Zybrea Knight · Accepted Answer

Final Answer : E, Explanation :   15 C 13 = 15 ! 13 ! ( 15 − 13 ) ! = 15 × 14 2 × 1 = 105. { } _ { 15 } C _ { 13 } = \frac{15!}{13!(15-13)!} = \frac{15 	imes 14}{2 	imes 1} = 105. 15 ​ C 13 ​ = 13 ! ( 15 − 13 )! 15 ! ​ = 2 × 1 15 × 14 ​ = 105.

Evaluate the binomial coefficient ${ } _ { 15 } C _ { 13 }$ .

A) $120$
B) $300$
C) $118$
D) $317$
E) $105$

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Learning Objectives

Related questions

Evaluate the binomial coefficient 15C13{ } _ { 15 } C _ { 13 }15​C13​ .A) 120120120 B) 300300300 C) 118118118 D) 317317317 E) 105105105

Definitions

Learning Objectives

Learning Objectives

Related questions

Evaluate the binomial coefficient ${ } _ { 15 } C _ { 13 }$ .

A) $120$
B) $300$
C) $118$
D) $317$
E) $105$