Rajdhani Express going from Bombay to Delhi stops at five inter-mediate stations, 10 passengers enter the train during the journey with 10 different ticket of two classes. The number of different sets of tickets they may have is
A
15C10
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B
20C10
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C
30C10
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D
None of these
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Solution
The correct option is C30C10 For a particular class, the total number of different tickets from first intermediate station is 5. Similarly, number of different tickets from second intermediate station is 4. So the total number of different tickets is 5+4+3+2+1=15. And same number of tickets for another class is equal to total number of different tickets,
which is equal to 30 and number of selection is 30C10.