If a bus conductor has 435 different tickets then findd the number of stoppage that the bus has, consider only one way journey

(Q). If a bus conductor has 435 different tickets then findd the number of stoppage that the bus has, consider only one way journey.
Solution:- 

if the bus has ‘n’ number of stoppage then to have a ticket we have to select 2 stoppages out of n and that can be done in ⁿC₂ =    = 435
⟹ n = 30
Hence bus has 30 stoppage. Answer