Total number of lines = (n2−n1)(n2−n1+1)2=(5−1)(5−1+1)2= 10
Possible Balmer lines are = 5→2, 4→2,3→2
Since there are no Balmer lines observed, the transition 2→1 is also not possible.
Therefore, total number of possible different radiation = 10 - 4 = 6