The letters of the word "UNDERDOG" can be arranged in 144 ways.
Number of ways "UNDERDOG" can be arranged
There are only two letters that are the same which are D, then the remaining letters are 6 letters.
V, E, O are vowels
N R G
The vowels are not joined together
For N, R, G A³3
There are 4 openings A³4
Hence:
A³4· A³3=4×3×2×3×2×1
A³4· A³3=144
Therefore the letters of the word "UNDERDOG" can be arranged in 144 ways.
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