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Eight chairs are numbered 1 to 8. Two wo...

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select th chairs from amongst the remaining. The number of possible arrangements is a.`^6C_3xx^4C_2` b. `^4P_2xx^4P_3` c. `^4C_2xx^4P_3` d. none of these

A

`""^(4)C_(3)xx""^(4)C_(2)`

B

`""^(4)C_(2)xx""^(4)P_(3)`

C

`""^(4)P_(2)xx""^(4)P_(3)`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
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  4. A student is allowed to select atlest one an atmost n books from a col...

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  6. The number of different numbers that can be formed by using all the di...

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  7. Number of ways in which RS. 18 can be distributed amongst four persons...

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  8. A box contains 2 white balls, 3 black balls & 4 red balls. In how many...

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  9. The number of ways in which four letters can be selected from the word...

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

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  11. The number of ways in which seven persons can be arranged at a round t...

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  12. The total number of ways in which 4 boys and 4 girls can form a line, ...

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  13. How many different words can be formed by jumbling the letters in the ...

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  14. A code word consists of three letters of the English alphabet followed...

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  15. Find the number of words formed by permuting all the letters of the ...

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  16. A father with 8 children takes 3 at a time to the Zoological Gardens, ...

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  17. A man has 8children to take them to a zoo. He takes thre of them at a ...

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  18. If the letters of the word ‘LATE’ be permuted and the words so perfo...

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  19. The total number of ways of arranging the letters AAAA BBB CC D E F in...

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  20. The side AB, BC and CA of a triangle ABC have 3,4 and 5 interior point...

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