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combinatorics question (quite simple) (3 Viewers)

gooner

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its really simple 6 employees, 3 cashier 2 clerk 1 typist each group is indistinguishable amongst themselves
 

afourgridbook

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so i did this question but i don't understand WHY this is what I'm supposed to do for the answer.
View attachment 45401
u can think of the cashiers clerks and typist as "identical" as they have the same role. there are 6! different total combinations but you have to divide by 3!x2! to account for the repeated employee roles because the question is asking for distinctive teams
 

appleali

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u can think of the cashiers clerks and typist as "identical" as they have the same role. there are 6! different total combinations but you have to divide by 3!x2! to account for the repeated employee roles because the question is asking for distinctive teams
yep i would think of it like a word, cashiers= A, clerks = B, typists = C
so like AAABBC and you can arrange it like you would a word with repeated letters
 

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