Multiple choice

Out of 10 red and 8 white balls, 5 red and 4 white balls can be drawn in number of ways

  1. $^8 C_5$ x $^{10} C_4$
  2. $^{10} C_5$ x $^8 C_4$
  3. $^{18} C_9$
  4. None.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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.

AI explanation

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.