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

Evaluate
`""^(20)P_(3)`

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To evaluate \( 20P3 \), we will use the formula for permutations, which is given by: \[ nPr = \frac{n!}{(n-r)!} \] ### Step 1: Identify the values of \( n \) and \( r \) In this case, we have: ...
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. Evaluate : (n!)/((n-r)!) where n=5,r=2

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  2. Evaluate (n!)/(r!(n-r)!), where n=15,r=4

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

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

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

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

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

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

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  9. How many numbers lying between 100 and 1000 can be formed with the dig...

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

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

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  12. How many words can be formed using the letters E twice , the letter C ...

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

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

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

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

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

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

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

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

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