समाधान p(3)=51/(53)!3!

$$p ( 3 ) = \frac { 51 } { ( 53 ) ! 3 ! }$$

मूल्याङ्कन गर्नुहोस्

$$\frac{1}{502927445183532419329178088634047017610628680984331026432000000000000}\approx 1.98835838 \cdot 10^{-69}$$

हलका विधिहरू

53 को क्रम गुणित 4274883284060025564298013753389399649690343788366813724672000000000000हो।

$$\frac{51}{4274883284060025564298013753389399649690343788366813724672000000000000\times 3!}$$

3 को क्रम गुणित 6हो।

$$\frac{51}{4274883284060025564298013753389399649690343788366813724672000000000000\times 6}$$

25649299704360153385788082520336397898142062730200882348032000000000000 प्राप्त गर्नको लागि 4274883284060025564298013753389399649690343788366813724672000000000000 र 6 गुणा गर्नुहोस्।

$$\frac{51}{25649299704360153385788082520336397898142062730200882348032000000000000}$$

51 लाई झिकेर र रद्द गरेर, भिनन \frac{51}{25649299704360153385788082520336397898142062730200882348032000000000000} लाई तल्लो टर्ममा घटाउनुहोस्।

$$\frac{1}{502927445183532419329178088634047017610628680984331026432000000000000}$$

गुणन खण्ड

$$\frac{1}{2 ^ {50} \cdot 3 ^ {23} \cdot 5 ^ {12} \cdot 7 ^ {8} \cdot 11 ^ {4} \cdot 13 ^ {4} \cdot 17 ^ {2} \cdot 19 ^ {2} \cdot 23 ^ {2} \cdot 29 \cdot 31 \cdot 37 \cdot 41 \cdot 43 \cdot 47 \cdot 53} = 1.9883583796765594 \times 10^{-69}$$