Recent content by lacrotix

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    Confirm the row vectors of A are orthogonal to the solution vectors?

    HI there. I'm taking Linear Algebra classes right now and this question has been bugging me. Homework Statement Find a general solution to the system, state the dimension of the solution space, and confirm the row vectors of A are orthogonal to the solution vectors. The given system is: (x1)...
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    Probability of Drawing Objects From a Golf Bag

    Sorry to write too much and force you to rush-read my question HallsofIvy. So yeah... this doesn't help with the stated question. :D I'll condense my question next time so that it is easier for everyone to follow. Now that is helpful! So I see: I multiply by three to my calculated...
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    Probability of Drawing Objects From a Golf Bag

    So why would I need to multiply my answer by 3 then? I am confused about that.
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    Probability of Drawing Objects From a Golf Bag

    Homework Statement This question is suppose to be solved at the Math 12 Principles level: Suppose there are 5 white golf balls, 3 yellow golf balls, and 4 orange golf balls in a pocket of a golf bag. Three balls are randomly drawn, and not replaced... What is the possibility of drawing 2...
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    Solving for A Variable in Combination

    Thanks eumyang. That description and logic-checking helps a whole lot.
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    Solving for A Variable in Combination

    Homework Statement Solve for _5C_n = 10 The Attempt at a Solution _5C_n = 10 \frac{5!}{n!(5-n)!}=10 \frac{120}{n!(5-n)!}=10 I can't go on from there. I remember that my teacher told me that for combinations and permutations, if the variable is the second number (or number to the right of...
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    How Many Committees Can Be Formed from Five Student Representatives?

    Thanks for the quick response HallsofIvy. However, my question relates to the last paragraph of my question. I do understand how to get it your way, but I don't understand how my original thinking is wrong.
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    How Many Committees Can Be Formed from Five Student Representatives?

    Hi there. I have a question about combinations at the Math 12 Principles level. Homework Statement From a group of 5 student representatives, 3 will be chosen to work on the dance committee. Also, each committee must have a chairperson. How many committees are possible? The Attempt at a...
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