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Byju's Answer
Standard VIII
Mathematics
Value of 0!
Factorial of ...
Question
Factorial of negative numbers is not defined.
A
True
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B
False
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Solution
The correct option is
A
True
As we know,
5
×
4
!
=
5
!
⇒
4
!
=
5
!
5
Similar derivations are depicted in the below table,
As per the above derivations,
n
!
=
(
n
+
1
)
!
(
n
+
1
)
Now, let's find the factorial of negative number say
(
−
1
)
.
(
−
1
)
!
=
(
−
1
+
1
)
!
(
−
1
+
1
)
=
0
!
0
=
1
0
(
∵
0
!
=
1
)
As we know,
Anything
0
is not defined, thus
1
0
is not defined.
As a result, the value of
(
−
1
)
!
is not defined.
Therefore, option (a.) is the correct choice.
Suggest Corrections
4
Similar questions
Q.
Factorial of negative numbers is always greater than 1.
Q.
Select the number(s) for which factorial is defined.
Q.
Fill in the blanks.
(i) The number _____ is neither positive nor negative rational number.
(ii) There are ___ number of rational numbers between two rational numbers.
(iii) A rational number is defined as a number which can be expressed in the form of
p
q
, where p and q are ______ and q is not equal to _____
Q.
Potential at a point is defined as bringing a unit positive charge from infinity. Why is it positive only. Not negative??
Q.
Consider the function
f
:
R
→
[
−
5
,
∞
)
defined by
f
(
x
)
=
9
x
2
+
6
x
−
5
, where R is negative real numbers. Show that
f
is invertible and find its inverse.
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