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BITSAT 2005 Solved Question Paper
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Section:
Mathematics
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© examsnet.com
Question : 16
Total: 150
Total number of books is
2
n
+
1
. One is allowed to select a minimum of the one book and a maximum of
n
books. If total number of selections if 63 , then value of
n
is :
3
6
2
none of these
Validate
Solution:
Since
(
1
+
x
)
2
n
+
1
=
C
0
+
C
1
x
+
.
.
.
.
.
+
C
n
x
n
+
C
n
+
1
x
n
+
1
+
.
.
.
.
.
.
.
+
x
2
n
+
1
=
2
(
C
0
+
C
1
+
.
.
.
.
.
.
+
C
n
x
n
)
Put
x
=
1
(
1
+
1
)
2
n
+
1
=
2
(
C
0
+
C
1
+
.
.
.
.
.
+
C
n
)
⇒
2
2
n
=
(
C
0
+
C
1
+
.
.
.
.
.
.
+
C
n
)
⇒
2
2
n
−
1
=
C
1
+
C
2
+
.
.
.
.
.
.
+
C
n
⇒
2
2
n
−
1
=
63
⇒
2
2
n
=
64
⇒
2
2
n
=
2
6
⇒
2
n
=
6
⇒
n
=
3
© examsnet.com
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