8 different newspapers and 5 different magazines are available in the city.

A hotel owner can subscribe 3 newspapers out of 8 newspapers in ^{8}C_{3} ways and 2 magazines out of 5 magazines in ^{5}C_{2} ways

∴ Total combination = ^{8}C_{3} × ^{5}C_{2}

= \(\frac{ 8×7×6}{3×2×1}+\frac{5×4}{2×1}\)

= 56 × 10 = 560

If a particular newspaper is to be selected then 2 newspapers out of the remaining 7 newspapers can be subscribed in ^{7}C_{2} ways and a particular magazine is not to be selected then 2 magazines out of the remaining 4 magazines can be selected in ^{4}C_{2} ways.

∴ Total combinations = ^{7}C_{2} × ^{4}C_{2}

= \(\frac{7×6}{2×1}×\frac{4×3}{2×1}\)

= 21 × 6

= 126