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Q.

Out of (2n + 1) tickets consecutively numbered, three are drawn at random.  The chance that the numbers on them are in AP is

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a

nn2-1

b

3nn2-1

c

3n4n2-1

d

3n4n2+2n-1

answer is C.

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Detailed Solution

n(s)=(2n+1)C3E=2b=a+c i.e sum of two numbers is even i.e both even or both odd n(E)=nC2+(n+1)C2

p(E)= nC2+(n+1)C2 (2n+1)C3

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