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Byju's Answer
Standard XII
Mathematics
Permutation: n Different Things Taken r at a Time
The number of...
Question
The number of different possible orders of matrices having 18 identical elements is
A
3
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B
1
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C
6
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D
4
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Solution
The correct option is
C
6
Let the order of the matrix is
(
a
×
b
)
There are
18
elements in the matrix.
So,
a
×
b
=
18
Possible orders can be
(
1
×
18
)
,
(
18
×
1
)
,
(
2
×
9
)
,
(
9
×
2
)
,
(
3
×
6
)
,
(
6
×
3
)
There are
6
possible orders.
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