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In how many of the permutations of 12 th...

In how many of the permutations of 12 things taken 6 at a time will 3 particular things (a) always occur b) never occur ?

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In how many of the permutations of 12 things taken 3 at time will one particular thing (a) always occur (b) never occur ?

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7 A ( Short Answer Type Questions )
  1. In how many ways can 5 first year students and 3 second year students ...

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  2. In how many of the permutations of 12 things taken 3 at time will one...

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  3. In how many of the permutations of 12 things taken 6 at a time will 3 ...

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  4. In how many different ways can the letters of the word FOOTBALL be a...

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  5. How many different arrangements are possible with the letters of the w...

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  6. How many diffferent words can be formed taking all the letters in the ...

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  7. How many arrangements can be made out of the letters of the word COMMI...

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  8. Find the number of ways in which the letters of the word ORION can be ...

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  9. Show that the letter of the word INSURANCE can be arranged in twicw ...

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  10. How many different arrangements can be made out of the letters of the ...

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  11. The first name of a person consists of 9 letters in which one letters ...

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  12. How many numbers of six digits can be formed out of the digits of the ...

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  13. How many numbers of 8 digits can be formed with the digits 4,2,2,2,3,3...

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  14. How many numbers greater than a lac be formed with the digits 0,2,5,2,...

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  15. How many 6- digits even numbers can be formed from 2,3,5,3,4,5 alone ...

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  16. How many numbers lying between 3000 and 4000 can be formed with the d...

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  17. In how many different ways can the four subjects be arranged in 5 peri...

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  18. Find the rank of the word LATE when its letters are arranged as in a ...

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  19. A code signal uses digit - letters - digit combinations but 0 and 1 ar...

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  20. Find the rank of the word Mother when its letters are arranged as in a...

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