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The number of circular permutations of 6 different things, taken 3 at a time, when clockwise and anticlockwise orders are as different is

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Important Questions on Permutation and Combination

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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is:
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
If f=13   24   36    47   55   61∈S6 then f-1 is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways, in which 5 girls and 7 boys can be seated at a round  table so that no two girls sit together is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
Five persons A, B, C, D and E are seated in a circular arrangement. If each of them is given a hat of one of the three colours red, blue and green, then the number of ways of distributing the hats such that the persons seated in adjacent seats get different coloured hats is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways in which 6 men and 5 women can sit at a round table if no two women are to sit together is given by
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
20 persons are invited for a party. The number of ways in which they and the host can seated at a circular table, if two particular persons be seated on either side of the host is equal to
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways 5 boys and 5 girls can be seated at a round table, so no two boys are adjacent is _____
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
A round table conference is attended by 3 Indians, 3 Chinese, 3 Canadians and 2 Americans. Find the number of ways of arranging them at the round table so that the delegates belonging to same country sit together.
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
Find the number of ways of preparing a chain with 6 different coloured beads.
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways that a circle can be made out of 6 black and 4 white men standing on a ring, so that all the white men come together is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
Six persons A, B, C, D, E and F are to be seated at a circular table facing towards the centre. Then the number of ways that can be done if A must have either E or F on his immediate right and E must have either F or D on his immediate right, is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways in which 5 keys be put in a ring is 
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together, is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together, is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
20 persons are invited to a party. the number of different ways can they and the host is seated at the circular table if the two particular persons are to be seated on either side of the host
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two particular persons are to be seated on either side of the host?
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Mathematics>Algebra>Permutation and Combination>Circular Permutation

Suppose m boys and m girls take their seats randomly around a circle. The probability of their sitting is (2m-1Cm)-1 when

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Mathematics>Algebra>Permutation and Combination>Circular Permutation
7 boys be seated at a round table. x is the number of ways in which two particular boys are next to each other,y is number of ways in which they are separated. Then x+y is
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
Ranbeer invited 20 persons on his birthday. In how many ways can he and his guests be seated around a circular table such that two particular persons, Riya and Priyanka, will be seated on either side of Ranbeer?
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Mathematics>Algebra>Permutation and Combination>Circular Permutation
Number of ways in which 5 boys and 4 girls can be arranged on a circular table such that no two girls sit together and two particular boys are always together.