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Byju's Answer
Standard V
Mathematics
Largest and Smallest Possible Number
How many 9-di...
Question
How many 9-digit numbers of different digits can be formed?
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Solution
The
digit
at
the
ten
crore
'
s
place
can
not
be
0
.
So
this
digit
can
be
filled
by
any
of
the
digits
from
1
to
9
.
Number
of
ways
of
filling
ten
crore
'
s
place
=
9
The
crore
'
s
place
can
be
filled
with
0
and
remaining
of
8
digits
.
Number
of
ways
of
filling
crore
'
s
place
=
9
The
ten
lakh
'
s
place
can
be
filled
by
any
of
the
remaining
8
digits
.
Number
of
ways
of
filling
ten
lakh
'
s
place
=
8
The
lakh
'
s
place
can
be
filled
by
any
of
the
remaining
7
digits
.
Number
of
ways
of
filling
lakh
'
s
place
=
7
The
ten
thousand
'
s
place
can
be
filled
by
any
one
of
remaining
6
digits
.
Number
of
ways
of
filling
ten
thousand
'
s
place
=
6
The
thousand
'
s
place
can
be
filled
by
any
one
of
remaining
5
digits
.
Number
of
ways
of
filling
thousand
'
s
place
=
5
The
hundred
'
s
place
can
be
filled
by
any
one
of
remaining
4
digits
.
Number
of
ways
of
filling
hundred
'
s
place
=
4
The
ten
'
s
place
can
be
filled
by
any
one
of
remaining
3
digits
.
Number
of
ways
of
filling
ten
'
s
place
=
3
The
one
'
s
place
can
be
filled
by
any
one
of
remaining
2
digits
.
Number
of
ways
of
filling
one
'
s
place
=
2
So
,
required
number
of
numbers
=
9
×
9
×
8
×
7
×
6
×
5
×
4
×
3
×
2
=
3265920
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