the value of 20 C 0+ 20 C 1 + -----+ 20 C 8
Answers
Answered by
2
Answer:
your answer mate mark as brainiest plzzzzzzz
Step-by-step explanation:
ANSWER
We know that,
(1+x)
20
=
20
C
0
+
20
C
1
x+
20
C
2
x
2
+
20
C
3
x
3
+
......
......
+
20
C
10
x
10
+
.............
+
20
C
20
x
20
Putting x=−1 we get
0=
20
C
0
−
20
C
1
+
20
C
2
−
20
C
3
+
......
......
+
20
C
10
+
.............
+
20
C
20
But as we know , that
20
C
0
=
20
C
20
,
20
C
1
=
20
C
19
and so on , we can write above equation as
0=2(
20
C
0
−
20
C
1
+
20
C
2
−
20
C
3
+..........−
20
C
9
)+
20
C
10
−
2
20
C
10
=(
20
C
0
−
20
C
1
+
20
C
2
−
20
C
3
+..........−
20
C
9
)
Hence,
20
C
0
−
20
C
1
+
20
C
2
−
20
C
3
+
......
−
......
+
20
C
10
=−
2
20
C
10
+
20
C
10
=
2
20
C
10
Similar questions