To choose 5 red balls from 10, there are 10C5 ways. To choose 4 white balls from 8, there are 8C4 ways. By the multiplication principle, the total ways are 10C5 * 8C4.
By the fundamental principle of counting, the total number of ways is the product of choosing 5 red balls from 10 and 4 white balls from 8. This is evaluated as 10C5 * 8C4. Therefore, the balls can be drawn in 10C5 * 8C4 ways.