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Number of ways in which 30 identical thi...

Number of ways in which 30 identical things are distributed among six persons is a`.^17C_5` if each gets odd number of things b`.^16C_11` if each gets odd number of things c`.^14C_5` if each gets even number of things (excluding 0) d`.^15C_10` if each gets even number of things (excluding 0)

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. If N denotes the number of ways of selecting r objects of out ...

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  3. Number of ways in which 30 identical things are distributed among six ...

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  4. (10!)=(2)^p.(3)^q.(5)^r.(7)^8 then

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

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

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

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

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

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

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

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

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