document.write( "Question 762375: How many ways are there for four Cricketers, three Swimmers and two Athletes be stand in a line if the same type of sports persons stand together? \n" ); document.write( "
Algebra.Com's Answer #463946 by ramkikk66(644)\"\" \"About 
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Since the people of one sport should stand together, let us consider all 4 cricketers as one unit C, 3 swimmers as one unit S, 2 Athletes as one unit A.\r
\n" ); document.write( "\n" ); document.write( "So we have 3 units which can be arranged in 3! or 6 ways.
\n" ); document.write( "(CSA, CAS, ASC, ACS, SCA, SAC)\r
\n" ); document.write( "\n" ); document.write( "(Note: The expression n! (read as n-factorial is evaluated as 1*2*3...*n.
\n" ); document.write( "3! = 1*2*3 = 6)\r
\n" ); document.write( "\n" ); document.write( "Moreover, within each unit, the players can stand in all possible permutations.
\n" ); document.write( "4 cricketers can stand in 4! = 24 ways
\n" ); document.write( "3 swimmers can stand in 3! = 6 ways
\n" ); document.write( "2 swimmers can stand in 2! = 2 ways.\r
\n" ); document.write( "\n" ); document.write( "Hence the total number of ways = 6*24*6*2 = 1728 ways.\r
\n" ); document.write( "\n" ); document.write( "Hope this helps.\r
\n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( "
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