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Standard XI
Mathematics
NCERT
Question
Evaluate
n
!
(
n
−
r
)
!
, when
(i)
n
=
6
,
r
=
2
.
(ii)
n
=
9
,
r
=
5
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Solution
Verified by Toppr
We need to find value of
n
!
(
n
−
r
)
!
i) Given,
n
=
6
,
r
=
2
∴
n
!
(
n
−
r
)
!
=
6
!
(
6
−
2
)
!
=
6
!
4
!
=
6
×
5
×
4
!
4
!
=
30
ii)
Given,
n
=
9
,
r
=
5
Therefore the value of
n
!
(
n
−
r
)
!
=
9
!
(
9
−
5
)
!
=
9
!
4
!
=
9
×
8
×
7
×
6
×
5
×
4
!
4
!
=
9
×
8
×
7
×
6
×
5
=
15120
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Similar Questions
Q1
Evaluate
n
!
(
n
−
r
)
!
, when
(i)
n
=
6
,
r
=
2
.
(ii)
n
=
9
,
r
=
5
View Solution
Q2
Evaluate
, when
(i)
n
= 6,
r
= 2 (ii)
n
= 9,
r
= 5