8 8 8 6 Jawaban

Pembahasan

Rumus perhubungan adalah sebagai berikut: C ( n , r ) = r ! ⋅ ( n − r ) ! kaki langit ! ​ Sehingga didapatkan penyelesaian sebagai berikut: ​ = = = = = ​ C ( 8 , 3 ) + C ( 8 , 4 ) + C ( 8 , 5 ) + C ( 8 , 6 ) + C ( 8 , 7 ) 3 ! ⋅ ( 8 − 3 ) ! 8 ! ​ + 4 ! ⋅ ( 8 − 4 ) ! 8 ! ​ + 5 ! ⋅ ( 8 − 5 ) ! 8 ! ​ + 6 ! ⋅ ( 8 − 6 ) ! 8 ! ​ + 7 ! ⋅ ( 8 − 7 ) ! 8 ! ​ 3 ! ⋅ 5 ! 8 ! ​ + 4 ! ⋅ 4 ! 8 ! ​ + 5 ! ⋅ 3 ! 8 ! ​ + 6 ! ⋅ 2 ! 8 ! ​ + 7 ! ⋅ 1 ! 8 ! ​ 3 ⋅ 2 ⋅ 1 ⋅ 5 ! 8 ⋅ 7 ⋅ 6 ​ ⋅ 5 ! ​ + 4 ​ ⋅ 3 ⋅ 2 ⋅ 1 ⋅ 4 ! 8 ​ 2 ⋅ 7 ⋅ 6 ​ ⋅ 5 ⋅ 4 ! ​ + 5 ! ⋅ 3 ⋅ 2 ⋅ 1 8 ⋅ 7 ⋅ 6 ​ ⋅ 5 ! ​ + 6 ! ⋅ 2 ​ ⋅ 1 8 ​ 4 ⋅ 7 ⋅ 6 ! ​ + 7 ! ⋅ 1 8 ⋅ 7 ! ​ 56 + 70 + 56 + 28 + 8 218 ​ Jadi, nilai bermula ​ ​ C ( 8 , 3 ) + C ( 8 , 4 ) + C ( 8 , 5 ) + C ( 8 , 6 ) + C ( 8 , 7 ) ​ adalah 218. Oleh karena itu, jawaban nan tepat adalah B.