We have four cards of different sizes. We are to paint each card either red, black, blue or yellow. However, we may paint more than one card with the same color. (1) There are a total of $\mathbf { N O P }$ ways of painting the cards. (2) There are $\mathbf{QR}$ ways of painting them using all four colors. (3) There are $\mathbf{ST}$ ways of painting two cards red, one card black, and one card blue. (4) There are $\mathbf{UVW}$ ways of painting the four cards using three colors. (5) There are $\mathbf { X Y }$ ways of painting them using two colors.
We have four cards of different sizes. We are to paint each card either red, black, blue or yellow. However, we may paint more than one card with the same color.\\
(1) There are a total of $\mathbf { N O P }$ ways of painting the cards.\\
(2) There are $\mathbf{QR}$ ways of painting them using all four colors.\\
(3) There are $\mathbf{ST}$ ways of painting two cards red, one card black, and one card blue.\\
(4) There are $\mathbf{UVW}$ ways of painting the four cards using three colors.\\
(5) There are $\mathbf { X Y }$ ways of painting them using two colors.