1. Tardigrade
  2. Question
  3. Mathematics
  4. A bag contains two red balls, two green balls, two white balls, two black balls and two yellow balls. Other than the colour, the balls are all indistinguishable. Find the number of different ways in which a selection of 5 balls can be made

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A bag contains two red balls, two green balls, two white balls, two black balls and two yellow balls. Other than the colour, the balls are all indistinguishable. Find the number of different ways in which a selection of 5 balls can be made

Permutations and Combinations

Solution:

image
(i) 2 alike +3 different
$={ }^5 C _1 \cdot{ }^4 C _3=20$
(ii) 2 alike +2 other alike +1 different
$={ }^5 C _2 \cdot 3=30$
(iii) all five different $=1$
Total $=51$