In a telephone system four different letter \( \mathrm{P}, \mathrm{R}, \mathrm{S}, \mathrm{T} \)...

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In a telephone system four different letter \( \mathrm{P}, \mathrm{R}, \mathrm{S}, \mathrm{T} \) and the four digits \( 3,5,7,8 \) are used. Find the maximum number of telephone numbers the system can have if each consists of a letter followed by a
\( P \) four-digit number in which the digit may be repeated.

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