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If the letters of the word MOTHER are wr...

If the letters of the word MOTHER are written in all possible orders and these words are written out as in a dictionary, find rank of the word MOTHER.

A

240

B

261

C

308

D

309

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
  1. Find the sum of all the numbers that can be formed with the digits 2, ...

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  2. The sum of the digits in unit place of all the numbers formed with the...

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  3. If the letters of the word MOTHER are written in all possible orders ...

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  4. Numbers greater than 1000 but not greater than 4000 which can be fo...

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  5. The number of ways in which 5 picturers can be hung from 7 picture nai...

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  6. The number of all four digit numbers which are divisible by 4 that can...

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  7. The number of all five digit numbers which are divisible by 4 that can...

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  8. The number of ways in which m+n(nlem+1) different things can be arrang...

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  9. All possible two-factor products are formed from the numbers 1, 2,…..,...

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  10. m men and n women ae to be seated in a row so that no two women sit...

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  11. Find the number of ways in which six '+' and four '-' signs can be arr...

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  12. If in a chess tournament each contestant plays once against each of th...

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  13. Total number of four digit odd numbers that can be formed by using 0, ...

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  14. A committee of 5 is to be formed from 9 ladies and 8 men. If the commi...

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  15. The number of ordered triplets, positive integers which are solutions ...

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  16. Find the number of straight lines that can be drawn through any two po...

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  17. The number of ways in which 10 candidates A1,A2, A(10) can be rank...

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  18. , the number of ways in which 10 candidates A(1)andA(2) can be ranked ...

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  19. The total number of all proper factors of 75600, is

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  20. The total number of ways in which 11 identical apples can be distribut...

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