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A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of tickets they could had??

A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of tickets they could had??

Grade:11

1 Answers

bhaveen kumar
38 Points
8 years ago

This is the condition if they al board the train from Delhi, However if they can board the train from any station . so here is the solution

Each person can have two choices 1) Boarding Station 2)Destination

if B.S= Delhi Des=1,2,3,4,5,6,7,Jaipur = 8 choices

if B.S.= 1  Des=2,3,4,5,6,7,Jaipur = 7 choices

if B.S.= 2  Des=3,4,5,6,7,Jaipur = 6 choices

...

thus the total type of tickets that a person can have =8+7+6+5+4+3+2+1 = 36choices

Similarly all the fove people can have these choices (May be recurring) .

Then the total choices may be 365

However if they have different tickets then the permutation possible are 36*35*34*33*32

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