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If ""^(n-1)P(3): ""^(n)P(4)=1:9 find n....

If `""^(n-1)P_(3): ""^(n)P_(4)=1:9` find n.

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If ""^((n-1))P_(3):""^(n)P_(4)=1:10 , find n.

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If ""^((n+2))C_(7):^((n-1))P_(4)=13:24 find n.

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FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-ADDITIONAL QUESTIONS
  1. If (n!)/(3!(n-4)! and (n!)/(5!(n-5)! are in the ratio 5:3 find the val...

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  2. How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7...

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  3. If ""^(n-1)P(3): ""^(n)P(4)=1:9 find n.

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  4. Out of 18 points in a plane, no three are in the same line except five...

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  5. We wish to select 6 person from 8 but , if the person A is choosen , t...

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  6. How many 3-digit numbers can be made using digit 1,2,3,4,6,7 if no dig...

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  7. Find the number of 4-digit numbers that can be formed using the digits...

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  8. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

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  9. How many words, with or without meaning , can be made from the letters...

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  10. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  11. A committee of 6 is to be choosen from 10 men and 7 women so as to con...

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  12. Using the digits 1,2,3,4,5,6,7 a number of 4 different digits is forme...

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  13. If ""^(22)P(r+1):^(20)P(r+2)=11:52, find r.

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  14. If ""^(nP(r)=""^(n)P(r+1) and ""^(n)C(r)=""^(n)C(r-1) find n and r.

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  15. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

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  16. In .^(2n)C(3) :.^(n)C(3) = 11 : 1 then n is

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  17. Find the number of ways of selecting 9 balls from 6 red balls, 5 white...

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  18. If 1/(7!)+1/(9!)=x/(10!), find x.

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  19. If ""^(n)C(4),^(n)C(5)" and "^(n)C(6) are in A.P. then find n.

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  20. Prove by induction the inequality (1+x)^(n) ge 1 + nx. whenever x is p...

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