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Q.

If one quarter of all three element subsets of the  set  A={a1, a2, a3, ......., an} is equal to the three element subsets which contains the element a3 , then n is

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a

10

b

12

c

14

d

20

answer is B.

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Detailed Solution

14×nc3=n−1c2⇒n=12
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If one quarter of all three element subsets of the  set  A={a1, a2, a3, ......., an} is equal to the three element subsets which contains the element a3 , then n is