document.write( "Question 1190907: MAT 145: Topics In Contemporary Math
\n" ); document.write( " Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "5. There are 30 teams in the National Basketball Association. How many different draft lotteries (top 8 draft picks) are possible? \n" ); document.write( "
Algebra.Com's Answer #822664 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "There are 30 choices for the first pick in the draft.
\n" ); document.write( "Then there are 29 choices for the second pick.
\n" ); document.write( "Then 28 choices for the third, and so on.\r
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\n" ); document.write( "\n" ); document.write( "We start at 30 and count down until we have 8 slots to fill up
\n" ); document.write( "30, 29, 28, 27
\n" ); document.write( "26, 25, 24, 23\r
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\n" ); document.write( "\n" ); document.write( "Multiply out those values:
\n" ); document.write( "30*29*28*27*26*25*24*23 = 235,989,936,000
\n" ); document.write( "This number is just a bit under 236 billion\r
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\n" ); document.write( "\n" ); document.write( "Alternatively, you can use the nPr permutation formula with n = 30 and r = 8.\r
\n" ); document.write( "\n" ); document.write( "We use a permutation because order matters.
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