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JEE Advanced Model Paper 16 with solutions for online practice
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© examsnet.com
Question : 52
Total: 69
The number of different ways in which the persons A, B, C having 6 one rupee coins,7 one rupee coins, 8 one rupee coins respectively donate 10 one rupee coinscollectively is equal
44
45
46
47
Validate
Solution:
Let A, B,C denote x, y, z coins respectively ⇒ x + y + z =10
Coefficient of
t
10
in (1 + t + .... +
t
6
) (1 + .... +
t
7
) (1 + t + .... +
t
8
)
=
(
t
7
−
1
)
(
t
8
−
1
)
(
t
9
−
1
)
(
1
−
t
)
−
3
=
(
t
7
+
t
8
+
t
9
−
1
)
(
1
−
t
)
−
3
(other terms are neglected)
= (
5
C
3
+
4
C
2
+
3
C
1
-
12
C
10
)
= 47
© examsnet.com
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