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No, it's 1/6; just multiply
Tina and Karen are are among the 4 colleagues that can get an "X" office, 4 possibilities for each creates a total of 24 possibilities. Tine alone has two chances of getting an "X," and so does Karen thus creating a 4/24 possibility. Reducing would be 1/6, if I'm not mistaken -- mathematically speaking.
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there are two ways to assign Karen, Tina to the Xs (2! = 2)
there are two ways to assign the others to the remaining squares (2! = 2)
so there are four ways to assign them such that Karen, Tina get Xs
there are twenty-four ways to assign them without any such constraints (4! = 24)
so only 4/24 = 1/6 of these ways will assign Karen, Tina to the Xs
did you get the right answer smartyone?
I thought we weren't supposed to provide answers, but assist the asker in arriving at the answer themselves.
that moment.... :D:P o^_^o
I already knew the answer was 1/6 but I didn't know how to arrive at it.
you knew about 1/6, but that could be a wrong answer even if you were told that it was the correct one.
we prove in math, not pick up from someone's answer.