(4) There are three sets of cards, red, yellow, and blue, each set containing five cards, marked with the letters $A, B, C, D$, and $E$. If 5 cards are drawn from these 15 cards, with the requirement that the letters are all different and all three colors are included, then the number of different ways to draw the cards is $\qquad$ kinds.
(4) 150 Hint: Divide into two categories $3, 1, 1$ and $2, 2, 1$. Calculate each respectively:
$$
\frac{\mathrm{C}_{3}^{1} \cdot \mathrm{C}_{5}^{3} \cdot \mathrm{C}_{2}^{1} \cdot \mathrm{C}_{2}^{1} \cdot \mathrm{C}_{1}^{1}}{\mathrm{~A}_{2}^{2}}+\frac{\mathrm{C}_{3}^{1} \cdot \mathrm{C}_{5}^{2} \cdot \mathrm{C}_{2}^{1} \cdot \mathrm{C}_{3}^{2} \cdot \mathrm{C}_{1}^{1}}{\mathrm{~A}_{2}^{2}}=150 .
$$