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If .^(9)P(5)+5.^(9)P(4)=^(10)P(r), find...

If `.^(9)P_(5)+5.^(9)P_(4)=^(10)P_(r)`, find r.

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If .^(n)P_(5)=20.^(n)P_(3) , find n.

If ^9P_5 + 5. ^9P_4 = ^I0P_r , find r.

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Prove that .^(n)P_(r)=.^(n-1)P_(r)+r.^(n-1)P_(r-1) .

If .^(n+1)P_(4):^(n-1)P_(3)=72:5 , find n.

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If .^(n+r)P_(2)=110and .^(n-r)P_(2)=20 , find n and r.

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7A ( Very Short Answer Type Questions )
  1. If 16.^(15)P(n)=13.^(16)P(n), find n.

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  2. Prove that .^(2n)P(n)={1.3.5.....(2n-1)}.2n

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  3. If .^(9)P(5)+5.^(9)P(4)=^(10)P(r), find r.

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  4. In how many different ways can 4 prizes be distributed among 10 studen...

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  5. On entering a certain town ,4 travellers find that there are 5 hotels ...

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  6. 12 ferry - steamers ply between Chandpal Ghat and Botanical Garden . I...

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  7. There are 12 stations on a certain railway line . How many different k...

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  8. How many different permutations can be made by taking all the letters ...

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  9. Find the number of ways in which the letters of the word DRAUGHT can b...

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  10. How many numbers each lying between 100 and 1000 can be formed with th...

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  11. Find the number of different perpmutations that can be made out of the...

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  12. Find the number of different perpmutations that can be made out of the...

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  13. Find the number of different perpmutations that can be made out of the...

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  14. Find the number of different perpmutations that can be made out of the...

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  15. Find the number of different perpmutations that can be made out of the...

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  16. In how many ways can the letters of the name Gavaskar be arranged so t...

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  17. In how many ways can the results of 3 successive football matches be d...

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  18. In how many ways can a person post 5 letters in 4 letters boxes ?

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  19. In how many ways four prizes - one for recitation , one for sports , o...

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  20. How many three figure numbers can be formed with the digits 1,2,3,4,5,...

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