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From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is (1) less than 500 (2) at least 500 but less than 750 (3) at least 750 but less than 1000 (4) at least 1000

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The correct Answer is:
`4!^(6)C_(4)^(3)C_(1)`
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CBSE COMPLEMENTARY MATERIAL-PERMUTATIONS AND COMBINATIONS -Section - D(Long answer type question)
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  5. Using the letters of the word 'EDUCATION' how many words using 6 lette...

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  7. What is the number of ways of choosing 4 cards from a deck of 52 cards...

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  8. What is the number of ways of choosing 4 cards from a deck of 52 cards...

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  9. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  11. How many different four letter words can be formed (with or without me...

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  12. If all letters of word ‘MOTHER’ are written in all possible orders and...

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  13. In how many ways three girls and nine boys can be seated in two vans, ...

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  14. From 6 different novels and 3 different dictionaries, 4 novels and ...

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  15. The set S""=""{1,""2,""3,"" ,""12) is to be partitioned into thr...

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  16. The value of ""^(50)C(4)+sum(r=1)^(6)""^(56-r)C(3), is

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  17. There are two parallel lines L1 and I2 in a plane I1 contains mdiffer...

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