document.write( "Question 1185834: Five country music bands and 2 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?
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Algebra.Com's Answer #816744 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Five country music bands and 2 rock bands are signed up to perform at an all-day festival.
\n" ); document.write( "How many different orders can the bands play in if the following conditions apply?
\n" ); document.write( "(a) there are no restrictions on the order
\n" ); document.write( "(b) all the bands of each type must perform in a row
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document.write( "(a)  (5 + 2)! = 7! = = 1*2*3*4*5*6*7 = 5040 different ways  (permutations).\r\n" );
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document.write( "(b)  2 * 5! * 2! = 2 * (1*2*3*4*5) * (1*2) = 2 * 120 * 2 = 480  different ways.\r\n" );
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