Whakaoti i te 7!/0!(7-0)!*0.6^7*0.4^7

$$\frac{ 7 ! }{ 0 ! (7-0) ! } \times { 0.6 }^{ 7 } \times { 0.4 }^{ 7 }$$

Aromātai

$$0.00004586471424$$

Ngā Upane Otinga

Ko te huarea o 7 ko 5040.

$$\frac{5040}{0!\left(7-0\right)!}\times 0.6^{7}\times 0.4^{7}$$

Ko te huarea o 0 ko 1.

$$\frac{5040}{1\left(7-0\right)!}\times 0.6^{7}\times 0.4^{7}$$

Tangohia te 0 i te 7, ka 7.

$$\frac{5040}{1\times 7!}\times 0.6^{7}\times 0.4^{7}$$

Ko te huarea o 7 ko 5040.

$$\frac{5040}{1\times 5040}\times 0.6^{7}\times 0.4^{7}$$

Whakareatia te 1 ki te 5040, ka 5040.

$$\frac{5040}{5040}\times 0.6^{7}\times 0.4^{7}$$

Whakawehea te 5040 ki te 5040, kia riro ko 1.

$$1\times 0.6^{7}\times 0.4^{7}$$

Tātaihia te 0.6 mā te pū o 7, kia riro ko 0.0279936.

$$1\times 0.0279936\times 0.4^{7}$$

Whakareatia te 1 ki te 0.0279936, ka 0.0279936.

$$0.0279936\times 0.4^{7}$$

Tātaihia te 0.4 mā te pū o 7, kia riro ko 0.0016384.

$$0.0279936\times 0.0016384$$

Whakareatia te 0.0279936 ki te 0.0016384, ka 0.00004586471424.

$$0.00004586471424$$

Tauwehe

$$\frac{2 ^ {7} \cdot 3 ^ {7}}{5 ^ {14}} = 4.586471424 \times 10^{-5}$$