document.write( "Question 1191353: Mrs. Voss’ speech class has 25 students. If 6 students will give their speeches today and the order is chosen randomly, then what is the probability that Tim goes first and Jenny goes second (the rest can be anyone)?\r
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Algebra.Com's Answer #823173 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Mrs. Voss’ speech class has 25 students. If 6 students will give their speeches today
\n" ); document.write( "and the order is chosen randomly, then what is the probability that Tim goes first
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\n" ); document.write( "*Please use the P(A) = number of outcomes in event A/total number of outcomes formula*
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document.write( "In this problem, we consider all ordered groups of 6 students, selected from 26 students.\r\n" );
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document.write( "The number of such groups is  25*24*23*22*21*20.\r\n" );
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document.write( "It is the denominator of the fraction: the total number of all possible outcomes.\r\n" );
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document.write( "The favorable outcomes are those ordered groups of 6 students, that have Tim \r\n" );
document.write( "at the first position and Jenny at the second position.\r\n" );
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document.write( "The rest 4 students in the group of 6 can be any of remaining 25-2 = 23 students in arbitrary order.\r\n" );
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document.write( "So, the number of favorable groups at this consideration is  23*22*21*20.\r\n" );
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document.write( "It is the numerator of the fraction.\r\n" );
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document.write( "The probability is  \r\n" );
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document.write( "    P =  =  = after canceling common factors =  = .    ANSWER\r\n" );
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