Statement 1: number of ways in which 10 ...

Statement 1: number of ways in which 10 identical toys can be distributed among three students if each receives at least two toys is `.^6C_2`. Statement 2: Number of positive integral solutions of `x+y+z+w=7i s^6C_3dot`

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions

Let n be a four-digit integer in which all the digits are different....
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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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Statement 1: number of ways in which 10 identical toys can be distri...
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Statement 1: The number of positive integral solutions of a b c=30 is...
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Prove by combinatorial argument that .^(n+1)Cr=^n Cr+^n C(r-1)dot
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Prove that (n !)! is divisible by (n !)^((n-1)!)
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Column I, Column II Number of straight lines joining any two of ...
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If the number of selections of 6 different letters that can be made...
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If n1 and n2 are five-digit numbers, find the total number of ways...
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If n1a n dn2 are five-digit numbers, find the total number of ways ...
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If a denotes the number of permutations of (x+2) things taken all at a...
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If n Pr=^n P(r+1) and n Cr=^n C(r-1,) then the value of (n+r) i...
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Let n be the number of ways in which 5 boys and 5 girls can stand in a...
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(i) In how many ways can a pack of 52 cards be divided equally amon...
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Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Find the total number of divis...
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True or false: The product of any r consecutive natural numbers is al...
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Statement 1: Number of zeros at the end of 50! is equal to 12. Stateme...
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Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer...
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A number of 18 guests have to be seated, half on each side of a lon...
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Ten persons numbered 1, 2,.....,10 play a chess tournament, each playe...
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