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Byju's Answer
Standard XII
Mathematics
nCr Definitions and Properties
The number of...
Question
The number of diagonals in a polygon of
m sides is
A
1
2
!
m
(
m
−
5
)
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B
1
2
!
m
(
m
−
1
)
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C
1
2
!
m
(
m
−
3
)
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D
1
2
!
m
(
m
−
2
)
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Solution
The correct option is
C
1
2
!
m
(
m
−
3
)
Required number of diagonals
=
m
C
2
−
m
=
m
(
m
−
1
)
2
!
−
m
=
m
2
!
(
m
−
3
)
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8
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