Whakaoti i te (1+2+6+24+5*4*3*2*4+6*5*3*2*1+7*6*5*4*3*2*1)%6

$$(1+2+6+24+5 \times 4 \times 3 \times 2 \times 4+6 \times 5 \times 3 \times 2 \times 1+7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1) \% 6$$

Aromātai

$$\frac{17199}{50}=343.98$$

Ngā Upane Otinga

Whakareatia te 5 ki te 4, ka 20. Whakareatia te 6 ki te 5, ka 30. Whakareatia te 7 ki te 6, ka 42.

$$\frac{1+2+6+24+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Tāpirihia te 1 ki te 2, ka 3.

$$\frac{3+6+24+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Tāpirihia te 3 ki te 6, ka 9.

$$\frac{9+24+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Tāpirihia te 9 ki te 24, ka 33.

$$\frac{33+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 20 ki te 3, ka 60.

$$\frac{33+60\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 60 ki te 2, ka 120.

$$\frac{33+120\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 120 ki te 4, ka 480.

$$\frac{33+480+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Tāpirihia te 33 ki te 480, ka 513.

$$\frac{513+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 30 ki te 3, ka 90.

$$\frac{513+90\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 90 ki te 2, ka 180.

$$\frac{513+180\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 180 ki te 1, ka 180.

$$\frac{513+180+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Tāpirihia te 513 ki te 180, ka 693.

$$\frac{693+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 42 ki te 5, ka 210.

$$\frac{693+210\times 4\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 210 ki te 4, ka 840.

$$\frac{693+840\times 3\times 2\times 1}{100}\times 6$$

Whakareatia te 840 ki te 3, ka 2520.

$$\frac{693+2520\times 2\times 1}{100}\times 6$$

Whakareatia te 2520 ki te 2, ka 5040.

$$\frac{693+5040\times 1}{100}\times 6$$

Whakareatia te 5040 ki te 1, ka 5040.

$$\frac{693+5040}{100}\times 6$$

Tāpirihia te 693 ki te 5040, ka 5733.

$$\frac{5733}{100}\times 6$$

Tuhia te \frac{5733}{100}\times 6 hei hautanga kotahi.

$$\frac{5733\times 6}{100}$$

Whakareatia te 5733 ki te 6, ka 34398.

$$\frac{34398}{100}$$

Whakahekea te hautanga \frac{34398}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{17199}{50}$$

Tauwehe

$$\frac{3 ^ {3} \cdot 7 ^ {2} \cdot 13}{2 \cdot 5 ^ {2}} = 343\frac{49}{50} = 343.98$$