I can also get much smaller movie files with Handbrake, without even much fuss. It's just so easy, I mostly find myself using OptiMage these days. I also shrink some h.264 and h.265 movie files, especially family outings which tend to be huuuuge.Īside from lack of h.265 support, OptiMage compresses smaller files and at higher quality than Permute. I covert mostly PNG and JPG files to smaller versions, including HEIC. I really liked Permute, until I found another piece of software called OptiMage. Increase volume, rotate video, change its resolution, flip it and so on!Ĭompression settings need tweaking & refinement Customizations - Customize the presets, or just that particular conversion. With Permute 3.2 or later, you can also convert images into text! Want to create a DVD? No problem, Permute can do that too. Versatile - Videos, audio, images - Permute can handle it all. Insanely Fast - Permute can utilize as much of your computer as possible to get stuff done ASAP. Easy to Use - What could be easier? Drag & drop a file, select target format and go. Permute includes icon view that allows you to see thumbnails of whatever you are working with. Beautiful UI - See what you are converting. Video, audio and image files come in many different kinds and shapes, but sometimes you need a specific format since your iPad or DVD player won't play that video. GENERAL WARNING: Our everyday use of the word "combination" does not always agree with the mathematical meaning of that word.Permute is a versatile tool that allows you to convert video, audio and images files into different formats, increase volume, merge them and much more! How many possibilities would there be if repeated numbers were not allowed? Many different 3-number "combinations" are possible? Suppose "combination" lock has a dial whose numbers are 1 through 16.Īssuming that repeated numbers are allowed within a "combination", how Why? Because, for one of these locks, the correct "combination" isĭetermined not only by the numbers that are selected, but also by the order in Poor choice of words: the device that we commonly call a combination lock would more accurately be called a permutation lock or a fundamental How many outcomes are possible under this new scheme? Now, the Lotto works like this: there are 53 balls instead of 49. How many different outcomes are possible? If the numbers on the ping-pong balls match The machine randomly spits out 6 ping-pong balls. There are 49 ping-pong balls in a machine, each bearing a number from 1 to 49. The Florida Lotto Saturday night drawing used to work like this: (assuming that no topping can be repeated on a pizza)?ĮXAMPLE 1.5.15 Classic example of combinations How many different 4-topping combinations are possible The choices for toppings are pepperoni, sausage, olives, mushrooms, anchovies, peppers, and onions. How many different three-dog groups are possible?Ī pizzeria is offering a special: for $6 you get a four-topping pizza. New question: After the race, three dogs will be randomly chosen for veterinary examination. Orders of finish are possible? We saw that the answer was P(6,3) = 120. Race: Spot, Fido, Bowser, Mack, Tuffy, William. Recall this problem from earlier: There are six greyhounds in a The password for Gomer's e-mail account consists of 5 characters chosen from the set How many different orders of finish (first place through eighth place) are possible?ġ. In how many ways is it possible for 15 students to arrange themselves among 15 seats Choose third-strongest candidate: 2 optionsĪ shorter way to get this answer is to recognize that the problem isĪsking us to find the number of ways to arrange (according to relative suitability) four people.īy definition, the number of ways to arrange 4 things is 4! Choose second-strongest candidate: 3 optionsģ. If you were to use the Fundamental Counting Principle, you would need to make four dependent decisions:Ģ. Rank the four candidates from strongest to weakest. N! is the number of different ways to arrange ( permutations of) n objects. N! is n multiplied by all of the positive integers FACTORIALS, PERMUTATIONS AND COMBINATIONS
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