document.write( "Question 849370: 1) in how many ways can 10 fruits be split into 3 parts consisting of 4,2,4 fruits respectively.\r
\n" ); document.write( "\n" ); document.write( "2)in how many can a committee of 5 Doctors be chosen from 9 Doctors.\r
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\n" ); document.write( "\n" ); document.write( "3) A basket contains 8 Oranges, 3 Mangoes and 9 Apples. if 3 fruits are drawn at random, determine the probability that 1 of each fruit is drawn.\r
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Algebra.Com's Answer #511563 by stanbon(75887)\"\" \"About 
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1) in how many ways can 10 fruits be split into 3 parts consisting of 4,2,4 fruits respectively.
\n" ); document.write( "If the fruits are all the same the answer is \"1\" way.
\n" ); document.write( "If the fruits are all different the answer is 10C4*6C2*4C4 = 210*15*1 = 3150
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\n" ); document.write( "2)in how many ways can a committee of 5 Doctors be chosen from 9 Doctors.
\n" ); document.write( "Ans: 9C5 = 9C4 = (9*8*7*6)/(1*2*3*4) = 252 ways
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\n" ); document.write( "\n" ); document.write( "3) A basket contains 8 Oranges, 3 Mangoes and 9 Apples. if 3 fruits are drawn at random, determine the probability that 1 of each fruit is drawn.
\n" ); document.write( "# of ways to get 1 of each:: 8*3*9 = 219 ways
\n" ); document.write( "# of randomly chosen groups of 3: 20C3 = (20*19*18)/(1*2*3) = 1140
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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