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Byju's Answer
Standard XII
Mathematics
Permutation: n Different Things Taken All at a Time When All Are Not Different.
A printer num...
Question
A printer numbers the pages of a book starting with
1
and uses
3189
digits in all. How many
pages does the book have?
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Solution
There are
9
one digits
=
9
There are
90
2
digits
⇒
90
×
2
=
180
There are
900
3
digits
⇒
900
×
3
=
2700
Let there be 'x'
4
digit numbers.
9
×
180
+
2700
+
4
x
=
3189
4
x
+
189
=
489
4
x
=
300
x
=
75
999
+
75
=
1074
Hence there are
1074
pages is all.
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Permutation: n Different Things Taken All at a Time When All Are Not Different.
Standard XII Mathematics
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