Evaluate the binomial coefficient 7 C 0 { } _ { 7 } C _ { 0 } 7 C 0 .A) 0 0 0 B) 7 7 7 C) 6 6 6 D) 1 1 1 E) 5

Question

Evaluate the binomial coefficient   7 C 0 { } _ { 7 } C _ { 0 } 7 ​ C 0 ​   .A)    0 0 0 B)    7 7 7 C)    6 6 6 D)    1 1 1 E)  5

Bobby Kohls · Accepted Answer

Final Answer : D, Explanation :   7 C 0 { } _ { 7 } C _ { 0 } 7 ​ C 0 ​   represents the number of ways to choose 0 items out of 7, which is only possible in one way - choosing nothing. Therefore,   7 C 0 { } _ { 7 } C _ { 0 } 7 ​ C 0 ​   equals 1.

Evaluate the binomial coefficient ${ } _ { 7 } C _ { 0 }$ .

A) $0$
B) $7$
C) $6$
D) $1$
E) 5

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Evaluate the binomial coefficient 7C0{ } _ { 7 } C _ { 0 }7​C0​ .A) 000 B) 777 C) 666 D) 111 E) 5

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Learning Objectives

Learning Objectives

Related questions

Evaluate the binomial coefficient ${ } _ { 7 } C _ { 0 }$ .

A) $0$
B) $7$
C) $6$
D) $1$
E) 5