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A man has 4 sons and there are 5 schools...

A man has 4 sons and there are 5 schools within his reach. In how many ways can he admit his sons in the schools so that no two of them will be in the same school.

A

`""^(5)C_(4)`

B

`""^(5)P_(4)`

C

`5^(4)`

D

`4^(5)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-I
  1. If ""^(n)P(4)=1680, find n.

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  2. The number of different signals that can be made by 5 flags from 8 fla...

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  3. A man has 4 sons and there are 5 schools within his reach. In how many...

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  4. The number of 3 digit numbers using 1, 2, 3, 4, 5 if no digit is to be...

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  5. Using the digits 0,2,4,6,8 not more than once in any number ...

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  6. Number of permutations that can be made using all the letters of the w...

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  7. Number of 4 letter permutations that can be made from the letters of t...

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  8. The number of arrangements that can be formed by taking all the ...

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  9. The letters of the word “ARTICLE” are taken four at a time and arrange...

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  10. The number of arrangements which can be made out of the letters of the...

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  11. 10 men and 6 women are to seated in a row so that no two wowe...

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  12. the number of 3 digited numbers that can be formed that can ...

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  13. The number of 4 letter words than can be formed using the lett...

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  14. Eight different letters of an alphabet are given . Words of f...

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  15. A letter lock consists of three rings each marked with 5 different let...

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  16. Find the the number of functions from a set A containing 5 elements in...

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  17. The number of injections from Set - A containing 5 elements to a Set -...

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  18. The number of onto functions that canbe defined from A = {a, b, c, d, ...

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  19. The number of into functions that can be defined from A={x, y, z, w, t...

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  20. The number of many one functions from A= {1, 2, 3} to B= {a, b, c, d} ...

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