document.write( "Question 561104: 1. a box containing 6 red balls and 4 green balls. how many ways can 2 balls be drawn at the time if
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document.write( "a. the balls are of any color?
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document.write( "b. in the balls are of the same color?
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document.write( "c. if the two balls are different color?\r
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document.write( "2. a sample of 12 students will be taken from a class with 26 girls and 15 boys. In how many ways can a sample be taken if
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document.write( "a. there must be equal number of boys and girls
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document.write( "b. gender is not a consideration
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document.write( "c. 2 girls are fixed elements and the rest are all boys \n" );
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Algebra.Com's Answer #364153 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1. a box containing 6 red balls and 4 green balls. how many ways can 2 balls be drawn at the time if\r\n" ); document.write( "a. the balls are of any color?\r\n" ); document.write( "\r\n" ); document.write( "The number of ways to choose 2 from 10 balls, C(10,2) = 45\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "b. in the balls are of the same color?\r\n" ); document.write( "\r\n" ); document.write( "The number of ways to choose 2 red balls from 6 red balls, C(6,2) = 15 +\r\n" ); document.write( "The number of ways to choose 2 green balls from 4 green balls, C(4,2) = 2.\r\n" ); document.write( "Answer 15+2=17. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "c. if the two balls are different color?\r\n" ); document.write( "\r\n" ); document.write( "For each of the 6 ways to choose the red ball, there are 4 ways\r\n" ); document.write( "to choose the green ball. So that 6*4 or 24\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2. a sample of 12 students will be taken from a class with 26 girls and 15 boys. In how many ways can a sample be taken if\r\n" ); document.write( "a. there must be equal number of boys and girls\r\n" ); document.write( "\r\n" ); document.write( "For each of the C(26,6) ways to choose the 6 girls from the 26, there are\r\n" ); document.write( "C(15,6) ways to choose the 6 boys from the 15. Thats C(26,6)*C(15,6)\r\n" ); document.write( "or 1152301150\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "b. gender is not a consideration\r\n" ); document.write( "\r\n" ); document.write( "The number of ways to choose 12 students from 38 students, C(38,12)\r\n" ); document.write( "or 2707475148\r\n" ); document.write( "\r\n" ); document.write( "c. 2 girls are fixed elements and the rest are all boys\r\n" ); document.write( "\r\n" ); document.write( "The number of ways to choose 10 boys from 15 boys, C(15,10) = 3003.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |