Six persons stand at random in a queue for buying cinema tickets. Individually three of them have only a fifty rupee note each while each of the other three have a hundred rupee note only. The booking

Question

Six persons stand at random in a queue for buying cinema tickets. Individually three of them have only a fifty rupee note each while each of the other three have a hundred rupee note only. The booking clerk has an empty cash box, probability that six persons get tickets without waiting for change is ----, (cost of one ticket is Rs.50/- and each person gets one ticket only)

TestHub · Accepted Answer

Here random experiment is arranging 6 persons in a line $n (S) = 6 = 720$ Let ' $a$ ' denote person having Rs.50/-, ' $b$ ' denote person having Rs.100/- note each since all the six person, should get ticket first place should be occupied by a person having Rs.50/and sixth place should be occupied by person having Rs.100/- possible cases are

' $a$ 's can arrange among themselves and

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