The six students can appear on a roster in alphabetical order.The number of ways in which mn students can be distributed equally among n sections is-
If m is 2 and n =3 mn =6
THen , it would be like (6c2 * 4c2 * 2c2 )/6 = 15
(mnCm * mn-mCm* mn-m - m Cm*....mcm)/ n!
So it can be mn C m as 6c2=15
6!/ (3!*3!) = (mn)! / (m! * m!) Is it correct?How many ways can the string a a a b b b be rearranged?
That's a hasty generalization! Your example case is rather simple, with only two groups.6!/ (3!*3!) = (mn)! / (m! * m!) Is it correct?
How does that agree with your example, mn=6?View attachment 28999
Actually this is the question . acc to my logic (d) is correct as i have stated with mn=6 eg above .
three groups of two each.Your example case is rather simple, with only two groups.
yes i did . Both are not matching you are right but if m=3, n=4say m=3, n=4.
Interesting thought; but I would take the sections (groups) as being distinguishable, as they would be in a class, so that those would be the same. We'll have to see at the end whether any of the choices agree with either interpretation.I am dividing by 4 factorial as all 4 groups are same so these two combo are the same
ABC DEF GHI JKL and ABC GHI JKL DEF etc .
I don't know. Tell me what each part means. (As you should know, there can be many different ways to write equivalent answers.)Then this expression is right? --> (12c3 * 9c3 * 6c3 * 3c3)/ 4! .
That's your job. I'm just here to nudge you back on track.What will be the answer ?
Why is it that you want a quick answer at the expense of not having the foggiest notion of the general idea.6!/ (3!*3!) = (mn)! / (m! * m!) Is it correct?
absolutely correct. (m*n)! / (m!)^nUsing twenty each of the letters A B C D EA\,B\,C\,D\,EABCDE we can make a string of one hundred.
How many possible such strings are there? Well (100)!(20!)5\dfrac{(100)!}{(20!)^5}(20!)5(100)!.
As they have not mentioned so we assume indistinguishable.Are the things identical such as steel ball-barings; or distinguishable like the students.
I assume not as they are Groups of equal qunatity not SECTIONS.Are the groups distinguishable like the sections of a course or they like studygroups where only the student content makes a difference.
don't know. Tell me what each part means.
The sections are Distinguishable and so are students .
Now I'm very confused. I understood the questions in #1 and #4 to be your attempts at asking the same question, since you put them in the same thread implying that your previous work applied to both problems. You need to stop doing this sort of thing. State the actual question from the start.I assume not as they are Groups of equal qunatity not SECTIONS.
Who is Image Quest, and why would any of us know what they would do??Now tell me what will be the approach of image Quest.