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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

`""^(6)C_(3)xx""^(4)C_(2)`

B

`""^(4)C_(2)xx ""^(6)P_(3)`

C

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

D

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

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Assignment Section B Objective type questions (One option is correct )
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  2. There are 12 points in a plane in which 6 are collinear. Number of dif...

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  3. Let Tn denote the number of triangles, which can be formed using th...

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  4. about to only mathematics

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  5. There are m points on the line AB and n points on the line AC, excludi...

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  6. The number of rectangle , of any sixe excluding squares from the recta...

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  7. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

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  8. The exponent of 12 in 100! Is

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  9. If the maximum number of trials required to open all locks when there ...

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  10. How many numbers greater than 1000, but not greater than 4000 can be ...

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  11. Find the total number of ways of selecting five letters from the word ...

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  12. Eight chairs are numbered 1 to 8. Two women and three men wish to oc...

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  13. The number of ways of distributing 12 different objects among three pe...

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  14. Harsha invites 13 guests to a dinner and places 8 of them at one table...

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  15. If one quarter of all the subjects containing three elements of the in...

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

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  17. The total number of ways in which four boys and four girls can be seat...

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  18. There are 15 couples taking part in a single tournament , the number o...

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  19. The number of different ways of assigning 10 marks to 3 questions is

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  20. There are 3 apartments A, B and C for rent in a building . Each apartm...

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