X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n = 6 ?

Hi, I have a question and I hope anyone could answer it:

X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n = 6 ? The value of X is _______.

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  1. Answer:

    The number of different wavelengths might be observed from the principle quantum number n is n(n1)2
    here n=6

    Hence, X=6(5)/2=15