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Statement 1: the number of ways in which...

Statement 1: the number of ways in which `n` persons can be seated at a round table, so that all shall not have the same neighbours in any two arrangements is `(n-1)!//2.` Statement 2: number of ways of arranging `n` different beads in circles is `(n-1)!//2.`

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. Find the number of positive integral solutions of the inequality 3x+y+...

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  3. Statement 1: the number of ways in which n persons can be seated a...

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  4. How many integers between 1 annd 1000000 have the sum of the digit equ...

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  5. Statement 1: Number of terms in the expansion of (x+y+z+w)^(50) is .^(...

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  6. Find the number of seven letter words that can be formed by using the ...

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

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  8. There are six teachers. Out of them two are primary teacher, two are ...

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  9. In the decimal system of numeration of six-digit numbers in which t...

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  10. There are 2 identical white balls, 3 identical red balls, and 4 green ...

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  11. To fill 12 vacancies, there are 25 candidates of which 5 are from sc...

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  12. Find the number of ways in which 6 boys and 6 girls can be seated in a...

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  13. If the difference of the number of arrangements of three things fro...

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  14. The number of ways in which the letters of the word ARRANGE be arrange...

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  15. The sum of all four-digit numbers that can be formed by using the d...

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  16. Find the value (s) of r satisfying the equation "^69 C(3r-1)-^(69)C(r...

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  17. The number of ordered pairs of integers (x ,y) satisfying the e...

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  18. Prove that "^n Cr+^(n-1)Cr+...+^r Cr=^(n+1)C(r+1) .

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  19. The number of five-digit telephone numbers having atleast one of the...

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  20. If ^(15)C(3r)=^(15)C(r+3) , then find r.

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