Evaluate the binomial coefficient 7 C 3 { } _ { 7 } C _ { 3 } 7 C 3 .A) 6 6 6 B) 5 , 034 5,034 5 , 034 C) 840 840 840 D) 35 35 35 E) 210 210 210

Question

Evaluate the binomial coefficient   7 C 3 { } _ { 7 } C _ { 3 } 7 ​ C 3 ​   .A)    6 6 6 B)    5 , 034 5,034 5 , 034 C)    840 840 840 D)    35 35 35 E)    210 210 210

Zybrea Knight · Accepted Answer

Final Answer : D, Explanation :   The binomial coefficient   7 C 3 { } _ { 7 } C _ { 3 } 7 ​ C 3 ​   is calculated as   7 ! 3 ! ( 7 − 3 ) ! = 7 × 6 × 5 3 × 2 × 1 = 35 \frac{7!}{3!(7-3)!} = \frac{7 	imes 6 	imes 5}{3 	imes 2 	imes 1} = 35 3 ! ( 7 − 3 )! 7 ! ​ = 3 × 2 × 1 7 × 6 × 5 ​ = 35  .

Evaluate the binomial coefficient ${ } _ { 7 } C _ { 3 }$ .

A) $6$
B) $5, 034$
C) $840$
D) $35$
E) $210$

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Learning Objectives

Related questions

Evaluate the binomial coefficient 7C3{ } _ { 7 } C _ { 3 }7​C3​ .A) 666 B) 5,0345,0345,034 C) 840840840 D) 353535 E) 210210210

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Learning Objectives

Learning Objectives

Related questions

Evaluate the binomial coefficient ${ } _ { 7 } C _ { 3 }$ .

A) $6$
B) $5, 034$
C) $840$
D) $35$
E) $210$