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rajdhani express from delhi to bombay stops at 9 intermediate stations 6 passengers enters the train during journey holding 6 different tickets of the same class.how many different sets of tickets they may have had. plz give full solution

rajdhani express from delhi to bombay stops at 9 intermediate stations 6 passengers enters the train during journey holding 6 different tickets of the same class.how many different sets of tickets they may have had.
plz give full solution

Grade:

1 Answers

Jayesh Arun Kadam
34 Points
10 years ago

Let S1,S2....S9 be intermadiate stations

The person taking train from the station Si(1≤i≤9) can get down any of the next (10-i) stations.

 Total no of possible tickets

=∑9i=1(10-i) =45

The six different tickets must be out of these 45 tickets.

Required number of ways = 45C45C39  .

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