Multiple choice

In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?

  1. $^8{C_5}\,\,\, \times \,{\,^{10}}{C_4}$
  2. $^{10}{C_5}\,\, \times \,{\,^8}{C_4}$
  3. $^{18}{C_9}$

  4. none
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

We need to choose 5 red balls from 10 (10C5) and 4 white balls from 8 (8C4). The number of ways is 10C5 * 8C4.

AI explanation

According to the fundamental principle of counting, the total number of ways to draw the balls is the product of the ways to choose the red balls and the ways to choose the white balls. The number of ways to choose 5 red balls from 10 is 10C5, and the number of ways to choose 4 white balls from 8 is 8C4. Multiplying these independent combinations gives 10C5 multiplied by 8C4.

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