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A number of 18 guests have to be seated,...

A number of 18 guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.

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`=""^(11)C_(5)xx 9! Xx 9!`.
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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -Revision Exercise
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  3. How many words, with or without meaning, each of 2 vowels and 3 con...

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  4. In how many ways can the letters of the word ASSASSINATION be arranged...

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  5. In how many different ways, the letters of the word 'ALGEBRA' can be a...

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  6. Five girls and five boys are to be seated on a bench with the boys and...

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  7. We wish to select 6 persons from 8, but if the person A is chosen, the...

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  8. A mathematical club consists of 18 members. In how many ways can the ...

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  9. There are 6 items in column A and 6 items in column B. A student is as...

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  10. A code word is to consist of two distinct English alphabets followed b...

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  11. How many 4-letter words, with or without meaning, can be formed out of...

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  12. Find the number of permutations of the letters of the words : 'DADDY ...

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  13. In how many different ways can the word 'EATERANEATER' be arranged so ...

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  14. Three married couples are to be seated in a row having six seats in a ...

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  15. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  16. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  17. Find the number of permutations of n different things taken r at a tim...

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  18. A coin is tossed 5 times. Determine the number of ways in which 0 hea...

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  19. A number of 18 guests have to be seated, half on each side of a lon...

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  20. A student is allowed to select at most n books from a collection of (...

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