Permutation with regard to rearranging words

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How many arrangements of the letters of the word REMAND is possible if they have REM together in any order?

The answer shows $^3P_ 3 \times \, ^4P_4 = 144$

I get that the $^3P_3$ part because there are $6$ possible ways to arrange REM, however, why should the second part of the answer be $^4P_4$, shouldn't it be $^3P_3$ since only three letters are left to be arranged?

Thank you!