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The number of ways in which 5 boys and 4...

The number of ways in which 5 boys and 4 girls sit around a circular table, so that all girls sit together

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Assertion (A): The number of ways in which 5 boys and 5 girls can sit in a row so that all the girls sit together is 86400. Reason (R) : The number of ways in which m (first type of different) things and n (second type of different) things can be arranged in a row so that all the second type of things come together is n!""^((n+1))P_(m) The correct answer is

A : the number of ways in which 5 boys and 5 girls can be sit in a row so that all the girls sit together is 86400. R : The number of ways in which m ( first type of different ) things and n ( second type of different things cna be arranged in a row so that all the second type of things come together is n ! ( m+ l) ! .

SIA PUBLICATION-PERMUTATIONS AND COMBINATIONS -Problems
  1. P points are chosen on each of the three coplanar lines. The maximum n...

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  2. A binary sequence is an array of '0' s and 1's . The number o...

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  3. 9 balls are to placed in 9 boxes : and 5 of the balls cannot ...

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  4. If ""^(n)P(r)=30240and ""^(n)C(r)=252 then the ordered pair (n,r)...

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  5. Find the number of ways of arranging 8 men and 4 women around a circul...

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  6. IF a polygon of n sides has 275 diagonals then n=

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  7. Eight different letters of an alphabet are given . Words of f...

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  8. The number of natural numbers less than 1000, in which no two dig...

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  9. A three digit number n is such that the last two digits of it ...

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  10. s(1),s(2) ...............,s(10) are the speakers in a conference, If s...

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  11. A person who tosses an unbiased coin gains two points for turning up a...

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  12. The number of positive odd divisors of 216 is

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  13. For any integer n ge1, the number of positive divisors of n is denoted...

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  14. Let I(1) and I be two lines intersecting at P. If A(1), B(1), C(1) are...

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  15. Consider the fourteen lines in the plane given by y=x+r,y=-x+r, where ...

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  16. The least value of n so that ""^(n) C(5) + ""^(n ) C(6) gt (...

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  17. The number of ways that 8 beads of different colours be strung as a ne...

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  18. The number of 5-digited numbers which are not divisible by 5 and which...

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  19. The number of ways in which 5 boys and 4 girls sit around a circular t...

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  20. Using the digits 0,2,4,6,8 not more than once in any number ...

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