1.3k views
2 votes
Combination with repetition formula e.g., 3 scoops from 5 flavors of ice cream, 10 marbles from bag with 100 of 3 colors (r,y,g)

1 Answer

0 votes

Final answer:

The formula for combinations with repetition in combinatorics is C(n+r-1,r), where n is the total number of items and r represents how many items to choose. For example, selecting 3 ice cream scoops out of 5 flavors will yield 35 combinations. If choosing 10 marbles form a bag of 100 marbles with 3 different colors, there are 66 combinations.

Step-by-step explanation:

In the field of combinatorics, the formula for combinations with repetition allows counting different combinations where repetition of elements is allowed. This is represented by the formula C(n+r-1,r), where n is the total number of items and r is the number of items to choose.

For example, if you wanted to select 3 scoops from 5 flavors of ice cream, the total number of flavor combinations would be C(5+3-1,3) = C(7,3) = 35.

Similarly, for choosing 10 marbles from a bag with 100 marbles of 3 different colors, we use the same formula. Here, n=3 (three colors) and r=10 (ten marbles) so the total combinations would be C(3+10-1,10) = C(12,10) = 66.

Learn more about Combinations with Repetition

User Aquila
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories