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Convert into factorials 3.6.9.12.15.1...

Convert into factorials
3.6.9.12.15.18.21

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To convert the expression \(3 \times 6 \times 9 \times 12 \times 15 \times 18 \times 21\) into factorials, we can follow these steps: ### Step 1: Factor each term We start by expressing each number in the product as a multiple of 3: - \(3 = 3 \times 1\) - \(6 = 3 \times 2\) - \(9 = 3 \times 3\) - \(12 = 3 \times 4\) ...
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(...

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  2. Evaluate : (1)/(3!)+(1)/(4!)+(1)/(5!)

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  3. Convert into factorials 3.6.9.12.15.18.21

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  4. Convert into factorials : 2.4.6.8.10.12……..50

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  5. Evaluate : (n!)/((n-r)!) where n=5,r=2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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