[tex] \large\underline \bold{{SOLUTION}}[/tex]
[tex]\textsf{N= total of the letters}[/tex][tex]\textsf{R= how many times the repeated letters are}[/tex]
[tex]\longmapsto\rm{P_n=\frac{n!}{(r!)(r!)(r!)(r!)}}[/tex]
[tex]\longmapsto\rm{P_6=\frac{6!}{(1_d!)(3_e!)(1_g!)(1_r!)}}[/tex]
[tex]\longmapsto\rm{P_6=\frac{6×5×4×3×2×1}{(1)(3×2×1)(1)(1)}}[/tex]
[tex]\longmapsto\rm{P_6=\frac{6×5×4×\cancel{3×2×1}}{(1)(\cancel{3×2×1})(1)(1)}}[/tex]
[tex]\longmapsto\rm{P_6=6×5×4}[/tex]
[tex]\longmapsto\boxed{\rm{P_6=120}}[/tex]
[tex] \large\underline{ \bold{ANSWER}}[/tex]
