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Byju's Answer
Standard XII
Mathematics
Combination of Atleast One Thing from n Things When All Are Not Different
If 337=80 λ+ ...
Question
If
3
37
=
80
λ
+
k
,
w
h
e
r
e
λ
ϵ
N
,
then 'k' is
A
78
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B
3
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C
2
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D
9
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Solution
The correct option is
B
3
3
37
=
3
4
×
9
.3
=
3
(
81
)
9
=
3
(
80
+
1
)
9
=
3
(
9
C
0
80
9
+
9
C
1
80
8
+
.
.
.
.
+
9
C
9
)
.
Hence remainder is 3
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Q.
If x
140
+ 2x
151
+ k is divisible by x + 1, then the value of k is
(a) 1
(b) −3
(c) 2
(d) −2