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NIMCET 2015 Question Paper with solutions
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© examsnet.com
Question : 25
Total: 120
If 42
(
n
P
2
)
=
n
P
4
then the value of ‘n’ is;
2
4
9
42
Validate
Solution:
We have,
42
n
P
2
=
n
P
4
⇒
42
n
!
(
n
−
2
)
!
=
n
!
(
n
−
4
)
!
⇒
(
n
−
2
)
!
(
n
−
4
)
!
=
42
⇒
(
n
−
2
)
(
n
−
3
)
(
n
−
4
)
!
(
n
−
4
)
!
=
42
⇒
n
2
−
5
n
+
6
=
42
n
2
−
5
n
−
36
⇒
(
n
−
9
)
(
n
+
4
)
=
0
n
=
9
© examsnet.com
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