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Home Q & A Board Science-Related Homework Help Mathematics
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$amanthaP24 $amanthaP24
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11 years ago
what is the factorial of a number of the form a/b for example how much is 2.4! Neutral Face??
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#1
11 years ago
answer is 2 and 2/5
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mgonzalez9mgonzalez9
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#2
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11 years ago
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#3
11 years ago
factorial of 2.4!is 2.4,2.3,2.2,2.1and so on till 1 dats what i was thought
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#4
11 years ago
there is no such factorial it's out ofmaths rules
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#5
11 years ago
factorial by def. is for natural numbers. and 0!=1 by def.is added to it.
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#6
11 years ago
There is a way to calculate factorial of any number by using what's called Gamma function
gamma(z)=definite integrala 0 to infinity (t^(z-1) * e^(-t) dt

and the relation between gamma function and factorial is
gamma(x+1)=x!

so 2.4!=gamma(3.4)=2.98120642681
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#7
11 years ago
We can not find factorials for those type(a/b) of numerical values.

The factorial n!(say) gives the number of ways in which n objects can be permuted(arranged). There will be 2 objects or 3 objects but not 2.4 objects.

I want to make clear for you that, the factorial is applicable for the positive whole numbers only and for other numerical values.

Hope you got the correct answer.
thanks
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#8
11 years ago
First, I agree with the answer that factorials are only define  for natural numbers.

There is however, the Gamma function from statistics.

Gamma(t) = (integral from 0 to infinity)(e^(-x)x^(t-1)dx

Has the property that Gamma(n+1) = nGamma(n) = n!.
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#9
11 years ago
rt11guru gave the first right answer of any of these.

Factorial only applies to integers.  But the Gamma function has the same behavior, and isn't restricted to just integers.
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#10
11 years ago
So  the question reduces to [2.4]!
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#11
11 years ago
2.98...
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