What are indistinguishable items?
Indistinguishable items are items that appear the same and cannot be told apart.
How many ways are there to put six indistinguishable objects into four indistinguishable boxes when each box can contain any number of?
=(64)⋅3=45 possibilities. Therefore there are 20+45=65 possible ways to do this.
How many ways are there to put 4 indistinguishable balls into 3 indistinguishable boxes?
Example 1 – How many ways are there to put four different balls into three indistinguishable offices without exclusion? This gives us a total of- 1 + 3 + 4 + 6 = 14 ways.
How many ways there are to put n indistinguishable balls into k distinguishable bins?
32! – Indistinguishable objects and distinguishable boxes: The number of ways to distribute n indistinguish- able objects into k distinguishable boxes is the same as the number of ways of choosing n objects from a set of k types of objects with repetition allowed, which is equal to C(k+n−1,n).
How many are there to place 8 indistinguishable balls into four distinguishable bins?
Expert-verified answer = 11!/(8!
How many ways are there to place 10 indistinguishable balls into eight distinguishable bins?
19,448 ways
Example: How many ways are there to place 10 indistinguishable balls into 8 distinguishable bins? Solution: We have C(10 + 8 – 1, 10) = C(17, 10) = 19,448 ways to arrange 10 indistinguishable balls into 8 distinguishable bins.
How many ways are there to place 8 indistinguishable balls in 4 distinguishable bins?
How many ways are there to place 10 indistinguishable balls into 8 distinguishable bins?
Example: How many ways are there to place 10 indistinguishable balls into 8 distinguishable bins? Solution: We have C(10 + 8 – 1, 10) = C(17, 10) = 19,448 ways to arrange 10 indistinguishable balls into 8 distinguishable bins.
How many ways are there to distribute 5 distinguishable balls into 4 distinguishable boxes so that no box is empty?
Choose which two balls are to be paired, (52)=10, and then arrange the four objects, 4! =24, for a total of 240.
How many ways are there to distribute 12 distinguishable objects into six distinguishable boxes so that two objects are placed in each box?
10,395 is the number of ways to place2 each of 12 distinguishable balls in 6 indistinguishable bins, So 10,395×6! =7,484,400, the desired answer.
How many ways can you place 8 indistinguishable?
How many ways are there to distribute 12 distinguishable objects into 6 distinguishable boxes?
ways. 10,395 is the number of ways to place2 each of 12 distinguishable balls in 6 indistinguishable bins, So 10,395×6!