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MAT. 10. Irisan Kerucut - e-Learning Sekolah Menengah Kejuruan

MAT. 10. Irisan Kerucut - e-Learning Sekolah Menengah Kejuruan

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Teorema 4C(n + 1, r) = C(n, r-1) + C(n, r)Bukti:C(n+1, r) =( n ? 1) !?r ! ( n ? 1 ? r)!( n ? 1) !r !( n ? ( r ? 1)) !C(n, r-1) =n !n ! r?( r ? 1) ! ( n ? ( r ? 1)) ! r ! ( n ? ( r ? 1)) !C(n, r) =n ! n ! ( n ? r ? 1)?r ! ( n ? r)! r !( n ? ( r ? 1)) !C(n, r-1) + C(n, r) =n ! r n ! ( n ? r ? 1)?r ! ( n ? ( r ? 1)) ! r ! ( n ? ( r ? 1)) !n != ( r ? ( n ? r ? 1))r ! ( n ? ( r ? 1)) !n != ( n ? 1)r ! ( n ? ( r ? 1)) !( n ? 1) != ? C(n ? 1, r)r ! ( n ? ( r ? 1)) !Terbukti: C(n+1, r) = C(n, r-1) + C(n, r)Contoh 95 !1) C(5, 3) = ? 103 ! 2 !5 !C(5, 2) = ? 103 ! 2 !Jadi: C(5, 3) = C(5, 2)6 !2) C(6, 4) = ? 154 ! 2 !<strong>MAT</strong>. 07. Peluang 14

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