JEE Main · MathematicsHard
A box contains tickets numbered to . Three tickets are drawn at random one by one without replacement. What is the probability that the numbers on the tickets are in increasing order?
- A.
- B.
- C.
- D.
Show correct answer & step-by-step solution
Correct answer: B —
Solution
- Any selection of 3 distinct tickets from 10 can be arranged in $3! = 6$ different orders.
- Due to symmetry, each of these 6 orderings is equally likely.
- Only one of these 6 orderings is in strictly increasing order.
- Therefore, the probability is .
- Hence the answer is (B).
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