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Assertion (A): The number of ways in whi...

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

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
C
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The number of ways in which 5 boys and 4 girls can be sit in a row so that all the girls come together

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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. The number of ways in which 4 letters can be put in 4 addressed envelo...

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  2. If the 4 letter words formed by using the letters of the word EQUATION...

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  3. Assertion (A): The number of ways in which 5 boys and 5 girls can sit ...

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  4. Assertion (A) : The number of ways in which 6 persons can sit around a...

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  5. sum(r=0)^(n)(P(r))/(r!) is equal to

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  6. If ""^(n)P(r)=""^(n)P((r+1))and ""^(n)C(r) = ""^(n)C(r-1), then (n,...

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  7. IF ""^(n) P(r)=720,""^(n)C(r)=120then (n,r)=

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  8. ""^(2n)C(n+1)+2. ""^(2n)C(n) + ""^(2n) C(n-1) =

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  9. the value of ""^50C(4) + underset( r=1) overset( 6 ) sum ""^(56...

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  10. sum( r=0 )^ ( 10) ( 40 -r)C (5)=

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  11. If ""^(n-1)C(3)+""^(n-1)C(4)gt""^(n)C(3), then

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  12. If ""^(n)C(4),""^(n)C(5),""^(n)C(6) are in A.P., then the value of n i...

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  13. If ""^(n)C(r-1)=36,""^(n)C(r)=84 and ""^(n)C(r+1)=126, then r is equal...

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  14. The value of 2^(n)n!(1.3.5.....(2n-1)) is

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  15. If a(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) then sum(r=0)^(n)(r)/(""^(n)C(r))...

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  16. ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-3)+""^(n)C(r-4) i...

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  17. The sum sum(i=0)^(m)((10)/(i))((20)/(m-i)) is maximum when m is

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  18. In a football championship there were played 153 matches. Every two te...

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  19. From a group of persons the number of ways of selecting 5 persons is e...

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  20. In a chess tournament where the participants were to play one game wit...

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