Permutation & Combination on actual GMAT?

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I have listed couple of questions below to give you some idea of what exactly I am about to talk.

Find the number of selections that can be made taking 4 letters from the word"ENTRANCE".


In the above word , the number of arrangements using the 4 letters


Tom, Jerry, and Donald and other three people sit in a line. From left to right, if Tom cannot sit on the first seat, Jerry cannot sit on the second seat, and Donald cannot sit on the fourth seat, hoe many different arrangements are possible?


These problems are not difficult at all. In fact I have answered all these problems on the problem solving forum. These problems are not only tedious but also "brain consuming".

I would like to know if problems of such kind can appear on the actual GMAT? If yes then in what score range would you classify such problems.

I don't come from a heavy math background, but I can say I am good at GMAT quant since I am scoring in higher 40's but on the actual GMAT I want to score at least 51.

Any suggestions, strategy or insight is highly appreciated.

Thanks
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parallel_chase wrote:but on the actual GMAT I want to score at least 51.
Well, 51 is the max possible, so don't aim higher than that! I have never seen, among many thousand real GMAT questions that I've encountered, any truly tedious counting problems, and nothing like the examples you cite above. Real GMAT counting problems almost always have a 'quick solution' as long as you view the problem in the right way- a solution you could complete in 30 seconds. Test prep counting problems are often unrealistic because they genuinely require a tedious and time-consuming case-by-case analysis, with no possibility for a shortcut. I don't mean to dismiss the value of case-by-case analysis - it's often a great approach to take, and can often be completed within two minutes- but if no shortcut is available to the clever test-taker, it probably isn't a realistic GMAT question.
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by parallel_chase » Sat Aug 02, 2008 12:57 am
Thanks a lot Ian, that takes a lot of weight off my mind.

So are you saying that there is some way of solving every GMAT question within 30 secs?

Yes Ian I know 51 is the highest score that I can get on actual GMAT and that is exactly what I want to score.