document.write( "Question 628835: Find the number of ways to arrange the word BRAZIL
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Algebra.Com's Answer #395872 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "BRAZIL\r\n" );
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document.write( "1. Choose the 1st letter any of 6 ways.\r\n" );
document.write( "2. Choose the 2nd letter any of the 5 remaining ways. \r\n" );
document.write( "That's 6×5 or 30 ways to choose the first 2 letters.\r\n" );
document.write( "3. Choose the 3rd letter any of the 4 remaining ways. \r\n" );
document.write( "That's 6×5×4 or 120 ways to choose the first 3 letters.\r\n" );
document.write( "4. Choose the 4th letter any of the 3 remaining ways. \r\n" );
document.write( "That's 6×5×4×3 or 360 ways to choose the first 4 letters.\r\n" );
document.write( "5. Choose the 5th letter either of the 2 remaining ways. \r\n" );
document.write( "That's 6×5×4×3×2 or 720 ways to choose the first 5 letters.\r\n" );
document.write( "6. Choose the 6th letter the only 1 remaining way. \r\n" );
document.write( "That's 6×5×4×3×2×1 or 720 ways to choose the 6 letters. \r\n" );
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document.write( "That's 6! = 6×5×4×3×2×1 = 720 ways\r\n" );
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document.write( "Then there are these two cases:\r\n" );
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document.write( "Case 1. Those with AI  (A on the left, I next to A on the right)\r\n" );
document.write( "Case 2. Those with IA  (I on the left, A next to I on the right) \r\n" );
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document.write( "Case 1. There are 5 things to arrange B, R, Z, L and AI   \r\n" );
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document.write( "1. Choose the 1st thing any of 5 ways.\r\n" );
document.write( "2. Choose the 2nd thing any of the 4 remaining ways. \r\n" );
document.write( "That's 5×4 or 20 ways to choose the first 2 things.\r\n" );
document.write( "3. Choose the 3rd thing any of the 3 remaining ways. \r\n" );
document.write( "That's 5×4×3 or 60 ways to choose the first 3 things.\r\n" );
document.write( "4. Choose the 4th thing either of the 2 remaining ways. \r\n" );
document.write( "That's 5×4×3×2 or 120 ways to choose the first 4 things.\r\n" );
document.write( "5. Choose the 5th thing the only 1 remaining way. \r\n" );
document.write( "That's 5×4×3×2×1 or 120 ways to choose the 5 things. \r\n" );
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document.write( "That's 5! = 5×4×3×2×1 = 120 ways\r\n" );
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document.write( "Case 2. There are 5 things to arrange B, R, Z, L and IA\r\n" );
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document.write( "This is the same as case 1, or 120.\r\n" );
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document.write( "Total number of ways = 120+120 = 240 ways.\r\n" );
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document.write( "Edwin
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