In how many ways can 11 persons be seated along a table of the shape of an isosceles triangle, having 4 seats along the two congruent sides and 3 seats along the third side? 10!
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61. In how many ways can 11 persons be arranged in a row such that 3 particular persons should always be together?
A.
9
!
×
3
!
B.
9
!
C.
11
!
D.
11
!
×
Explanation:
Given that three particular persons should always be together. Hence, just group these three persons together and consider as a single person.
Therefore we can take total number of persons as 9. These 9 persons can be arranged in
9
!
ways.
We had grouped three persons together. These three persons can be arranged among themselves in
3
!
ways.
Hence, required number of ways
=
9
!
×
3
!
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