Ratkaise 52!/(52-25)!5!

$$\frac{ 52 ! }{ (52-25) ! 5 ! }$$

Laske

$$61728305479136907531396158088806400000$$

Ratkaisun vaiheet

52:n kertoma on 80658175170943878571660636856403766975289505440883277824000000000000.

$$\frac{80658175170943878571660636856403766975289505440883277824000000000000}{\left(52-25\right)!\times 5!}$$

Vähennä 25 luvusta 52 saadaksesi tuloksen 27.

$$\frac{80658175170943878571660636856403766975289505440883277824000000000000}{27!\times 5!}$$

27:n kertoma on 10888869450418352160768000000.

$$\frac{80658175170943878571660636856403766975289505440883277824000000000000}{10888869450418352160768000000\times 5!}$$

5:n kertoma on 120.

$$\frac{80658175170943878571660636856403766975289505440883277824000000000000}{10888869450418352160768000000\times 120}$$

Kerro 10888869450418352160768000000 ja 120, niin saadaan 1306664334050202259292160000000.

$$\frac{80658175170943878571660636856403766975289505440883277824000000000000}{1306664334050202259292160000000}$$

Jaa 80658175170943878571660636856403766975289505440883277824000000000000 luvulla 1306664334050202259292160000000, jolloin ratkaisuksi tulee 61728305479136907531396158088806400000.

$$61728305479136907531396158088806400000$$

Jaa tekijöihin

$$2^{23}\times 3^{9}\times 5^{5}\times 7^{5}\times 11^{2}\times 13^{2}\times 17^{2}\times 19\times 23\times 29\times 31\times 37\times 41\times 43\times 47$$