+122 You really need to say whether you are asking about permutations or combinations.The number of permutations of six numbers from fifty (which just means arrangements) is 50x49x48x47x46x45. But within these permutations you will have chosen the same combination more than once,for example you will have picked the combination 1 2 3 4 5 6 in several different ways.(6! different ways in fact) So if you are looking for the number of combinations without repetition,,you need to divide 50x49x48x47x46x45 by 6! (6! being the total number of ways you can arrange 6 objects or numbers in this case).
(I can permute 123456 as 234561,345612 etc etc in a total of 6x5x4x3x2 ways.This is just one combination of the same group of six numbers arranged in 6! ways.) Always ask yourself when considering these problems whether you are looking at a combination (one distinct collection of objects) or a permutation (an arrangement of that particular collection of objects.)
+129899 C(50,6) = 15890700 ...... 1 chance in 15,890,700 of selecting any six number combination
+122 You really need to say whether you are asking about permutations or combinations.The number of permutations of six numbers from fifty (which just means arrangements) is 50x49x48x47x46x45. But within these permutations you will have chosen the same combination more than once,for example you will have picked the combination 1 2 3 4 5 6 in several different ways.(6! different ways in fact) So if you are looking for the number of combinations without repetition,,you need to divide 50x49x48x47x46x45 by 6! (6! being the total number of ways you can arrange 6 objects or numbers in this case).
(I can permute 123456 as 234561,345612 etc etc in a total of 6x5x4x3x2 ways.This is just one combination of the same group of six numbers arranged in 6! ways.) Always ask yourself when considering these problems whether you are looking at a combination (one distinct collection of objects) or a permutation (an arrangement of that particular collection of objects.)
