# math

Evaluate each factorial expression.

106!
104!

1. 👍 0
2. 👎 0
3. 👁 114
1. There is no exact way to evaluate factorials except to calculate them by multiplication:

They turn out to be:
104!=102990167451456276238485838647650442830537724549990721823254917768878717324
75287174542709871683888003235965704141638377695179741979175588724736000000000000
000000000000
=1.0299016745145628*10^166 (approx.)

and

106!=114628056373470835453434738414834942870388487424139673389282723476762012382
44994625266036087184167347601629828709643514374735052822822430250631168000000000
0000000000000000
=1.1462805637347084*10^170 (approx.)

If only an approximation is required, Stirling's approximation could be used for large factorials (n>100):
n! ~ sqrt(2πn)(n/e)^n
where the error is of the order 1/n.

A closer approximation can be obtained by summing the series:
n! ~ sqrt(2πn)(n/e)^n(1+1/(12n)+1/(288n²)-139/(51840n³)-...)

http://en.wikipedia.org/wiki/Stirling%27s_approximation

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

Evaluate each factorial expression. 106! 104!

asked by marie on August 22, 2011
2. ### math

Evaluate the factorial expression 8!/6! Use the formula for nPr: How many arrangements can be made using the letters of the word HYPERBOLAS if no letter is to be used more than once.

asked by Anonymous on April 24, 2012
3. ### Math

Hi everyone, my name is Emerson. I was wondering if anybody could help me on a test. I'm stuck on some, but I think I know some others. Thank you! 1. Translate the phrase "nine more than two times a number" in to an algebraic

asked by Emerson on December 7, 2015
4. ### Math

Evaluate the algebric expression for the given value of the variable. 104-6c+3 if c=1 1/2

asked by Amy on February 22, 2016
5. ### Algebra

What is the value of x such that the list 100, 102, 104, x, x, 106, 104, 118, 113, 101 has the same mean and mode?

asked by Tony on November 29, 2010
6. ### Chemistry

2A + B2 + C --> A2B + BC Run # Initial Rate (M-1s-1) (A)o (B)o (C)o 1 1.6 x 106 1.2 M 1. x 10-2 M 1.0 M 2 1.6 x 106 2.4 M 1. x 10-2 M 1.0 M 3 3.2 x 106 1.2 M 2. x 10-2 M 1.0 M 4 6.4 x 106 1.2 M 1. x 10-2 M 2.0 M What would be the

asked by Marcus on February 17, 2013
7. ### math

Evaluate the factorial. 5!

asked by Dana on May 4, 2008
8. ### Physics

Two satellites S1 and S2 orbit around a planet P in circular orbits of radii r1 = 5.25 106 m, and r2 = 8.60 106 m respectively. If the speed of the first satellite S1 is 1.65 104 m/s, what is the speed of the second satellite S2?

asked by Young on October 22, 2017
9. ### precalculus

Simplify the Factorial Expression. (3n+1)!*3!/(3n-2)!

asked by Robert on December 5, 2011
10. ### math

what is expression 5 factorial equal

asked by matt on February 11, 2013

More Similar Questions