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Byju's Answer
Standard VI
Mathematics
Introducing Large Numbers
The number of...
Question
The number of
4
digits even numbers that can be formed using
0
,
1
,
2
,
3
,
4
,
5
,
6
without repetition is
A
120
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B
300
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C
420
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D
20
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Solution
The correct option is
C
420
For even no, last digit could
be 0,2,4,6
But first digit cannot be 0
So :
I
:
6
×
5
×
4
=
120
I
I
:
5
×
5
×
4
=
100
I
I
I
:
5
×
5
×
4
=
100
I
V
:
5
×
5
×
4
=
100
∴
Total no.of 4 digit even
no.
=
120
+
100
+
100
+
100
=
420
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