What is (365!)/((365-7)!*365^7) ?

The solution to (365!)/((365-7)!*365^7) is (4.46324E14)/(73^6*3125)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (365!)/((365-7)!*365^7)

simplify

\frac{365 !}{( 365 - 7 ) ! \cdot 36 5 ^{7}}

\frac{4.46324 E 14}{7 3 ^{6} \cdot 3125}

Decimal

0.94376 \dots

Solution steps

\frac{365 !}{( 365 - 7 ) ! \cdot 36 5 ^{7}}

Subtract the numbers:

365 - 7 = 358

= \frac{365 !}{358 ! \cdot 36 5 ^{7}}

Cancel the factorials:

\frac{n !}{( n - m ) !} = n \cdot (n - 1) \dots (n - m + 1), n > m

\frac{365 !}{358 !} = 365 \cdot 364 \cdot 363 \cdot 362 \cdot 361 \cdot 360 \cdot 359

= \frac{365 \cdot 364 \cdot 363 \cdot 362 \cdot 361 \cdot 360 \cdot 359}{36 5 ^{7}}

Cancel

\frac{365 \cdot 364 \cdot 363 \cdot 362 \cdot 361 \cdot 360 \cdot 359}{36 5 ^{7}} : \frac{364 \cdot 363 \cdot 362 \cdot 361 \cdot 72 \cdot 359}{5 ^{5} \cdot 7 3 ^{6}}

= \frac{364 \cdot 363 \cdot 362 \cdot 361 \cdot 72 \cdot 359}{5 ^{5} \cdot 7 3 ^{6}}

\frac{364 \cdot 363 \cdot 362 \cdot 361 \cdot 72 \cdot 359}{5 ^{5} \cdot 7 3 ^{6}} = \frac{4.46324 E 14}{7 3 ^{6} \cdot 3125}

= \frac{4.46324 E 14}{7 3 ^{6} \cdot 3125}

- 6 x^{2} - 2 - 3 x = - 8

2^{2} + 3^{2}

\frac{1 - 5}{8 - 2}

\frac{a}{a + 3} + \frac{4}{a + 5}

5 x^{2} (x - 8) - (x - 8)

What is (365!)/((365-7)!*365^7) ?
The solution to (365!)/((365-7)!*365^7) is (4.46324E14)/(73^6*3125)