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Byju's Answer
Standard XII
Mathematics
Permutation
n gentlemen c...
Question
n
gentlemen can be made to sit on a round table in
A
1
2
(
n
+
1
)
!
ways
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B
(
n
−
1
)
!
ways
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C
1
2
(
n
−
1
)
!
ways
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D
(
n
+
1
)
!
ways
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Solution
The correct option is
B
(
n
−
1
)
!
ways
It is a fundamental concept.
(
n
−
1
)
!
ways
Suggest Corrections
5
Similar questions
Q.
The number of ways in which we can arrange n ladies & n gentlemen at a round table so that
2
ladies and
2
gentlemen may not sit next to one another is:
Q.
In how many way can
12
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Q.
Assertion :A student is allowed to select at most
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books from a collection of
(
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n
+
1
)
books. If the total number of ways in which he can select at least one book is
255
,
then
n
=
3
Reason: because
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C
0
+
(
2
n
+
1
)
C
1
+
(
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n
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1
)
C
2
+
.
.
.
+
(
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n
+
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C
n
=
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n
Q.
Assertion :A student is allowed to select at most
n
books from a collection of
(
2
n
+
1
)
books. If the total number of ways in which he can select at least one book is
255
then
n
=
3
, because Reason:
2
n
+
1
C
0
+
2
n
+
1
C
1
+
.
.
.
+
2
n
+
1
C
n
=
4
n
Q.
In how many distinct ways can
3
ladies and
3
gentlemen be seated at a round table, so that exactly any two ladies sit together?
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