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if 18c15 2 18c16 17c16 1 nc3 then n is equal to
Question:
If
18
C15 + 2(
18
C16) +
17
C16 + 1 =
n
C3, then n is equal to
WBJEE
Updated On:
Apr 27, 2024
(A) 19
(B) 20
(C) 18
(D) 24
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Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Explanation:
18
C
15
+
2
(
18
C
16
)
+
17
C
16
+
1
=
n
C
3
⇒
18
C
15
+
18
C
16
+
18
C
16
+
17
C
16
+
1
=
n
C
3
⇒
18
C
15
+
18
C
16
+
18
C
16
+
17
C
16
+
17
C
17
=
n
C
3
⇒
19
C
16
+
18
C
16
+
18
C
17
=
n
C
3
⇒
19
C
16
+
19
C
17
=
n
C
3
⇒
20
17
=
n
C
3
⇒
n
=
20
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