Math Help Permutations

Question: Please help with math permutations problem?
1. In how many different ways can 6 knights be seated in 6 chairs around a round table?
2. In how many different ways can 9 people be lined up in a row if 2 of them must stand next to each other?
3. The manager of a baseball team wants the best hitter up fifth. If the lineup consists of 9 players, how many different lineups are possible?
Answer: 1. Since you specified a round table, I will assume it does not matter if you shift everyone around keeping them in the same order. Put 1 person in any seat. Then you can choose among 5 people to sit to his right, 4 people to sit to the right of that person, etc. So you have 5*4*3*2*1 or 120 ways.
2. Count the 2 people who must stand next to each other as 1 person. so you have 8*7*6*5*4*3*2 = 40320 ways. Or you can switch the order of those 2 people, giving you another 40320 ways, for a total of 80640.
3. The best hitter is fifth, so you can rearrange the other 8 players in 8*7*6*5*4*3*2*1 = 40320 ways.
GMAT Math Permutation & Combinatorics II | Manhattan Review GMAT Prep
Math Homework Generator
Question: Math help, logarithm generator?
For a homework problem, I’m supposed to make up a bunch of log equations.
like log(b)x=a
originally b^a=x
So where can i find a generator to make more of log(b)x=a?
Answer: If they all have to be based on the definition of log like your example then you can make up heaps yourself pretty easily.
Just start with the b^a = x form then write it in log form
For example:
2^6 = 64
log(2) 64 = 6
5^3 = 125
log(5) 125 = 3
Just keep doing this sort of thing until you’ve got enough
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Question: Free………………?
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Anywhere online? I am failing math, and need help.
I like the chat room tutoring which is one on one but it costs too much.
Is there any free online math tutoring or a low cost website? Thanks
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