document.write( "Question 1134624: if 4 numbers from 1 to 1000 are chosen at random, one at a time, find the probability that they will be chosen in decreasing order \n" ); document.write( "
Algebra.Com's Answer #752061 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "if 4 \n" ); document.write( "~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Pay attention on how I edited your post to make the problem precisely correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "When 4 numbers are chosen, there are 4! possible permutations of them, influencing to their order.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Of this 4! = 1*2*3*4 = 24 permutations, only one provides the requested decreasing order.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, the probability under the problem's question is\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |