A table is set with 13 large numbered (and thus distinguishable) bins. We have 5 red balls (indistinguishable ones) and 8 blue balls (also indistinguishable). We are interested in the...

A table is set with 13 large numbered (and thus distinguishable) bins. We have 5 red balls (indistinguishable ones) and 8 blue balls (also indistinguishable). We are interested in the...

Permutations rule when some items are identical to others

I used the following method and got the right answer: What I did was removed 4 of the 12 stations leaving 8 stations and 9 gaps, then I selected 4 out of 9 gaps giving me 9C4 please explain...

c) Allowing for unlimited repeats, what is the probability if we selected a 7 letter arrangement at random that it would contain no repeated letters? d) How many 7 letter arrangements...

I was thinking it may be 10!/5! but am not sure

a rectangular table has 4 seats on one side and 3 seats on the opposite side. a family of 7 consist of 2 grandparents, 2 parents and 3 children are to be seated at the table. In how...

In how many ways can the letters of the word WINNIPEG be arranged if the letters W, P, and G must remain in the same order they appear in the word?

How many different arrangements are possible if Allen cannot be next to either Jennifer or Caitlyn and Daniel or Deena will always be on the far left?

In this game they each get at least 1 point each turn. After 7 turns, the score is 11 to 8. How many different scores were possible after the 5th turn?

Two songs are chosen by both stations, but appear in different places on their lists. The rest of the songs chosen by each station are different. How many different ways could the radio stations have...

I know the answer is 20 but i can't figure it out

I know that the answer 84, but I just can't seem to get that number

NON ACADEMIC QUESTION: Over the years I have struggled with a (social) math problem involving organising golfers in a travelling group so as to maximise playing combinations whilst minimising duplication...

In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 7 faculty members and 13 students eligible to serve...

I want to generate permutation of large number and also control the outputs. Forexample, permutation 10 numbers (1,2,3,4,5,6,7,8,9,0). Since the output will be large, I want to be able to put parameters...

I have been stuck on this for a while now

The answer is 125 if that helps

The answer is 120 if that helps

The answer is 30 if that helps

I have 4 results represented by A, B, C and D I have the probabilities for whether each result will be greater than the other: P(A>B): 86.6% P(A>C): 80.4% P(A>D):...

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