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Byju's Answer
Standard XII
Mathematics
Proof by mathematical induction
Number of 9...
Question
Number of
9
digits numbers divisible by nine using the digits from
0
to
9
if each digit is used almost once is
K
=
8
!
, then K has the value equal to____
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Solution
1
+
2
+
.
.
.3
.
.
.9
=
9
×
10
2
=
95
All the
9
digit numbers using
1
to
9
are divisible by
9
9
!
The case when we use
0
we must exclude
9
from the number also
0
can't be at the
9
t
h
8
×
8
!
9
!
+
8
×
8
!
=
12
×
8
!
K
=
17
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