The cheese can be any one out of 3 = 3 choices. For each of those . . . The first topping can be any one of 8. For each of those . . . The second topping can be any one of the remaining 7 . For each of those . . . The third topping can be any one of the remaining 6 .
Total number of ways to assemble a pizza = (3 x 8 x 7 x 6) = 1,008 ways.
BUT . . .
You could choose the SAME 3 toppings in (3 x 2) = 6 different ways, and nobody could tell the difference once they were selected. All 6 different ways would result in the same pizza.
So, out of the 1,008 total different ways there are of choosing ingredients, there are only ( 1,008 / 6 ) = 168 different and distinct pizzas.
1 c h eese i s c h oose f ro m 3 : ( 1 3 ) = 3 an d 3 t o pp in g s a re c h oose f ro m 8 : ( 3 8 ) = 3 ! ⋅ ( 8 − 3 )! 8 ! = 2 ⋅ 3 ⋅ 5 ! 5 ! ⋅ 6 ⋅ 7 ⋅ 8 = 56 a p i zz a c an b e ma d e o n 3 ⋅ 56 = 168 w a ys
To make a pizza with 1 cheese and 3 toppings from 3 cheese options and 8 toppings, you can choose the cheese in 3 ways and the toppings in 56 ways. Multiplying these options gives a total of 168 distinct pizzas. Thus, there are 168 different ways to create the pizza.
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Jawaban:Mapel : MatematikaTingkat : SMA/Umumdiketahui :jarak tanam karet = 5m x 4mluas lahan = 0,5 Hektar = 500 m2ditanya : jumlah tanaman karet yang bisa ditanamdijawab :a.Luas jarak tanamLt = 5 x 4 = 20m2b.Jumlah tanaman karet yang bisa ditanamJ = Luas lahan / LtJ = 500 / 20J = 25 pohonjadi tanaman karet yang bisa ditanam adalah 25 pohon