Whakaoti i te 6!3!/4!7!

$$\frac{ 6 ! 3 ! }{ 4 ! 7 ! }$$

Aromātai

$$\frac{1}{28}\approx 0.035714286$$

Ngā Upane Otinga

Ko te huarea o 6 ko 720.

$$\frac{720\times 3!}{4!\times 7!}$$

Ko te huarea o 3 ko 6.

$$\frac{720\times 6}{4!\times 7!}$$

Whakareatia te 720 ki te 6, ka 4320.

$$\frac{4320}{4!\times 7!}$$

Ko te huarea o 4 ko 24.

$$\frac{4320}{24\times 7!}$$

Ko te huarea o 7 ko 5040.

$$\frac{4320}{24\times 5040}$$

Whakareatia te 24 ki te 5040, ka 120960.

$$\frac{4320}{120960}$$

Whakahekea te hautanga \frac{4320}{120960} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4320.

$$\frac{1}{28}$$

Tauwehe

$$\frac{1}{2 ^ {2} \cdot 7} = 0.03571428571428571$$