Answer:
4C2 * 6C2 * 5C2
Step-by-step explanation:
White balls = 4
Yellow balls = 6
Red balls = 5
In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :
That means :
2 red balls from 5 red balls = 5C2
2 balls for 6 yellow balls = 6C2
2 balls from 4 white balls = 4C2
To obtain the number of possible combinations, take the product of the three combinations :
4C2 * 6C2 * 5C2
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
permutation is way of selecting and arranging things while combination is way of selecting things .
Given that bag contains 4 white balls, 6 yellow balls, and 5 red balls
we have to select 6 balls
it's given that there must be 2 balls of each color
So here's how we can select them
2 white balls ,2 yellow balls and 2 red balls
So we have to select 2 white balls out of 4 white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls
so number of ways of selecting
[tex]{4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}[/tex]
[tex]=6\times15\times10\\\\=900[/tex]
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
To learn more about combination visit : https://brainly.com/question/25821700
