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If .^(n+1)P(3)=10.^(n-1)P(2), find n....

If `.^(n+1)P_(3)=10.^(n-1)P_(2)`, find n.

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Find n and r if .^(n)P_(r)=.^(n)P_(r+1)and^(n)C_(r)=^(n)C_(r-1) .

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7A ( Very Short Answer Type Questions )
  1. If .^(n+1)P(3)=10.^(n-1)P(2), find n.

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

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

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  4. If 16.^(15)P(n)=13.^(16)P(n), find n.

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

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

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

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

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  9. 12 ferry - steamers ply between Chandpal Ghat and Botanical Garden . I...

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

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

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

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

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

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

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

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

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

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