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A is a set containing n elements. A subs...

`A` is a set containing `n` elements. A subset `P_1` is chosen and `A` is reconstructed by replacing the elements of `P_1`. The same process is repeated for subsets `P_1,P_2,....,P_m` with `m>1`. The number of ways of choosing `P_1,P_2,....,P_m` so that `P_1 cup P_2 cup....cup P_m=A` is (a)`(2^m-1)^(mn)` (b)`(2^n-1)^m` (c)`(m+n)C_m` (d) none of these

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. (10!)=(2)^p.(3)^q.(5)^r.(7)^8 then

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  3. A is a set containing n elements. A subset P1 is chosen and A is recon...

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  4. Let n be a four-digit integer in which all the digits are different....

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  5. If P = 21(21^2-1^2)(21^2-2^2)(21^2-3^2)...............(21^2-10^2),t h ...

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  6. Statement 1: number of ways in which 10 identical toys can be distri...

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  7. Statement 1: The number of positive integral solutions of a b c=30 is ...

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  8. Prove by combinatorial argument that .^(n+1)Cr=^n Cr+^n C(r-1)dot

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  9. Prove that (n !)! is divisible by (n !)^((n-1)!)

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  10. Column I, Column II Number of straight lines joining any two of ...

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  13. If n1a n dn2 are five-digit numbers, find the total number of ways ...

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  14. If a denotes the number of permutations of (x+2) things taken all at a...

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  16. Let n be the number of ways in which 5 boys and 5 girls can stand in a...

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