Penjelasan dengan langkah-langkah:
pembuktian :
utk n = 0
4 x (0 + 1) C 2 = 5 x 0 C (0 - 2)
= Tdk terdefinisi
Utk n = 9
4 x (9 + 1) C 2 = 5 x 9 C (9 - 2)
4 x 10 C 2 = 5 x 9 C 7
4 x (10!/(2! . 8!) = 5 x (9!/7! . 2!)
4 x ((10 x 9 x 8!)/2! . 8!) = 5 x ((9 x 8 x 7!)/7! . 2!)
4 x ((10 x 9)/2) = 5 x (9 x 8)/2
4 x 45 = 5 x 36
180 = 180 (benar)
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Penjelasan dengan langkah-langkah:
pembuktian :
utk n = 0
4 x (0 + 1) C 2 = 5 x 0 C (0 - 2)
= Tdk terdefinisi
Utk n = 9
4 x (9 + 1) C 2 = 5 x 9 C (9 - 2)
4 x 10 C 2 = 5 x 9 C 7
4 x (10!/(2! . 8!) = 5 x (9!/7! . 2!)
4 x ((10 x 9 x 8!)/2! . 8!) = 5 x ((9 x 8 x 7!)/7! . 2!)
4 x ((10 x 9)/2) = 5 x (9 x 8)/2
4 x 45 = 5 x 36
180 = 180 (benar)