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If ""^((n+2)) C8 :"" ^((n-2)) P4= 57 : 1...

If `""^((n+2)) C_8 :"" ^((n-2)) P_4= 57 : 16` then find n.

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IF (n + 2)! = 2550 n! find n .

If ""^(n)C_(8)=""^(n)C_(2) , find ""^(n)C_(2) .

Find n if ""^(n-1)P_(3) : ""^(n)P_(4)=1:9 .

If ""^(n)C_(9)=""^(n)C_(8) , find ""^(n)C_(17) .

if .^(2n+1)P_(n-1):^(2n-1)P_(n)=7:10 , then .^(n)P_(3) equals

if .^(2n)C_(2):^(n)C_(2)=9:2 and .^(n)C_(r)=10 , then r is equal to

If .^(2n)C_(3):^(n)C_(3)=11:1 , find the value of n.

If A= {1, 2, 3, 4, 5), B= {2.4.6.8} then find n(A cup B).

n(U)= 150, n(A)= 75, n(B)= 57, n(C )= 65, n(A cap B)=37, n(A cap C)= 36, n(B cap C)= 25" and "n(A cap B cap C)= 19 , then find n(A cup B cup C), and "n(A' cup B' cup C') .

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KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-PRACTICE WORK
  1. Prove that , ""^nPr = ""^((n-1))Pr + r. ""^(n-1)P((r-1))

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  2. If ""nPr=840 and ""^nCr=35, then r is equal to....

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  3. If ""^((n+2)) C8 :"" ^((n-2)) P4= 57 : 16 then find n.

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  4. If ""^nC10= ""^nC12 then find ""^23Cn.

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  5. In how many ways can a football team of 11 players be selected from 16...

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  6. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  7. A polygon has 65 diagonals, then find the number of its side.

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  8. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  9. How many four digit numbers divisible by 4 can be made with the digit ...

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  10. How many different words can be formed by using all the letters of the...

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  11. 6 letters be posted by 3 boxes. The number of ways of posting the lett...

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  12. How many different words can be formed by using all the letters of the...

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  13. In how many different words can be formed by using all the letters of ...

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  14. In a room, there are 12 bulb of same waltage each having a separate sw...

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  15. There are 8 points in a plane. Out of them, 3 points are collinear. Us...

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  16. What is the number of ways of choosing 3 cards from a pack of 52 playi...

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  17. A box contains 2 white balls, 3 black balls and 4 red balls. The numbe...

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  18. How many numbers greater than 7000 can be formed with the digits 2, 5,...

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  19. Determine the number of 5 cards combinations out of a deck of 52 cards...

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  20. How many different words can be formed by using all the letters of the...

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