document.write( "Question 251685: how many samples of size 3 can be drawn from s={2,4,8,10,12,}, (a) with replacement, (b) without replacement \n" ); document.write( "
Algebra.Com's Answer #237055 by jrfrunner(365)\"\" \"About 
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there are 4 scenarios\r
\n" ); document.write( "\n" ); document.write( "1. Order is important and with replacement
\n" ); document.write( "in this case each of the three times there are five choices: 5*5*5 =5^3=125
\n" ); document.write( "2. order is important and without replacement
\n" ); document.write( "in this case you decrement the choices as each is selected: 5*4*3= 60\r
\n" ); document.write( "\n" ); document.write( "3. Order is NOT important and with replacement
\n" ); document.write( "in this case choice 2,4,8 is the same as 8,4,2 or 4,2,8 etc
\n" ); document.write( "so the number of ways is (n+k-1)C(k) where n=number of choices, k=selected
\n" ); document.write( "or (5+3-1)C3 = 7C3 = 35
\n" ); document.write( "4. order is NOT important and without replacement
\n" ); document.write( "in this case the number of ways is 5C3=10
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