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The total number of ways of dividing mn ...

The total number of ways of dividing mn things into n equal groups, is

A

`((mn)!)/(m!n!)`

B

`((mn)!)/((m!)^(m)n!)`

C

`((mn)!)/((m!)^(n)n!)`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
  1. The total number of arrangements of the letters in the expression a^(3...

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  2. The total number of selections of fruit which can be made from 3 banan...

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  3. The total number of ways of dividing mn things into n equal groups, is

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  4. How many different words of 4 letters can be formed with the letters o...

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  5. ""sum(r=1)^(4)""^(21-r)C(4)+ 17C(5), is

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  6. Given that .^(n)C(n-r)+3^(n)C(n-r+1)+3. .^(n)C(n-r+2)+.^(n)C(n-r+3)=...

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  7. If n is even and ""^(n)C(0)lt""^(n)C(1) lt ""^(n)C(2) lt ....lt ""^(...

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  8. Find the number of ways in which one can post 5 letters in 7letter ...

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  9. What is the total number of 2xx2 matrices with each entry 0 or 1...

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  10. Three dice are rolled. Find the number of possible outcomes in which a...

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  11. The numbers of four different digits number that can be formed from th...

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  12. If m and n are positive integers more than or equal to 2, mgtn, then (...

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  13. Find the number of integers which lie between 1 and 10^6 and which hav...

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  14. A man invites a party to (m+n) friends to dinner and places m at one r...

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  15. The number of ways of arranging m positive and n(lt m+1) negative si...

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  16. Out of 10 consonants four vowels, the number of words that can be form...

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  17. Four couples (husband and wife) decide to form a committee of four mem...

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  18. N a certain test, there are n question. In the test, 2^(n-i) students ...

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  19. The number of nine nonzero digits such that all the digits in the f...

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  20. The number of ways in which 20 different pearls of two colours can be ...

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