1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Binomial Coefficients
If 2≤ r ≤ n...
Question
If
2
≤
r
≤
n
,
then
n
C
r
+
2
n
C
r
−
1
+
n
C
r
−
2
is equal to:
A
n
+
1
C
r
+
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
n
+
1
C
r
+
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
n
+
2
C
r
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
n
+
2
C
r
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
C
n
+
2
C
r
The value of
n
C
r
+
2
n
C
r
−
1
+
n
C
r
−
2
is
=
n
C
r
+
n
C
r
−
1
+
n
C
r
−
1
+
n
C
r
−
2
.....
Using
m
C
x
+
m
C
x
−
1
=
m
+
1
C
x
=
n
+
1
C
r
+
n
+
1
C
r
−
1
=
n
+
2
C
r
Suggest Corrections
0
Similar questions
Q.
If
(
2
≤
r
≤
n
)
,
then
n
C
r
+
2
⋅
n
C
r
+
1
+
n
C
r
+
2
is equal to
Q.
n
C
r
+
2
n
C
r
−
1
+
n
C
r
−
2
=