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Evaluate ""^(5)P(3)xx""^(7)P(3)...

Evaluate
`""^(5)P_(3)xx""^(7)P_(3)`

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Find 'n' if 2 ""^(5)P_(3)= ""^(n)P_(4)

(i) If ""^(n)P_(5)=20xx""^(n)P_(3) , find n. (ii) If 16xx""^(n)P_(3)=13xx""^(n+1)P_(3) , find n. (iii) If ""^(2n)P_(3)=100xx""^(n)P_(2) , find n.

Find the value of n such that "(i) "^(n)P_(5) =42 xx ""^(n)P_(3), n gt 4 " (ii) "(""^(n)P_(4))/(" "^(n-1)P_(4))=(5)/(3), n gt 4.

Evaluate the following: ^(5)P_(3)

Find 'n' if : (i) ""^(2n)P_(3)=100 ""^(n)P_(2) (ii) ""^(n)P_(4)=20xx ""^(n)P_(2)

If ""^(n)P_(4) =2xx""^(5)P_(3) , find n.

Evaluate the following : (i) ""^(8)P_(5) (ii) ""^(10)P_(3) (iii) ""^(12)C_(7) (iv) ""^(9)C_(0) .

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. Evaluate (n!)/(r!(n-r)!), where n=15,r=4

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  2. Evaluate ""^(20)P(3)

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  3. Evaluate ""^(5)P(3)xx""^(7)P(3)

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  4. Find n, if ""^(n)P(5)=42 ""^(n)P(3), n ge 5

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  5. Show that ""^(n)P(n)=2""^(n)P(n-2)

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  6. In how many ways, the letter of word NUMBER can be arranged ?

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  7. In how many ways, the letters of word FRACTION can be arranged ?

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  9. How many four digit numbers are there in all?

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  10. How many permulations of the letters of the word KARNAL are there ?

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  12. Find the number of words formed by permuting all letters of the word I...

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  13. Find the number of different words formed with the letters of the word...

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  14. How many permutations can be made out of the letters of the word TRIAN...

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  15. Find out number of permutations that can be had from the letters of th...

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  16. How many numbers greater than 50,000 can be formed by using the digits...

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  17. How many numbers greater than a million can be formed by using the dig...

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  18. In how many ways can the letters of the word INSURANCE be arranged , s...

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  19. In how many ways can the letters of the word PATLIPUTRA be arranged, s...

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  20. The letters of word ZENITH are written in all possible ways. If all ...

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