SOLUTION: How many ways can a class president, vice-president, and secretary be selected from each of the seventh grade and eighth grade to form a six member junior high student council? The
Question 1149499: How many ways can a class president, vice-president, and secretary be selected from each of the seventh grade and eighth grade to form a six member junior high student council? The seventh grade has 80 members, and the eighth grade has 60 members.
7-th grade: in N = 80*79*78 ways.
8-th grade: in M = 60*59*58 ways.
The united 6-member committee can be formed by N*M ways.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! You need P( 80,3 ) and P( 60,3 ) to get all
the possible choices for the 3 offices
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Then you need P( 80,3 ) x P( 60,3 ) to get
all the ways to combine the 7th and 8th
grade choices for the 3 offices
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P( 80,3 ) =
P( 80,3 ) =
P( 80,3 ) =
and
P( 60,3 ) =
P( 60,3 ) =
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P( 80,3 ) x P( 60,3 ) =
P( 80,3 ) x P( 60,3 ) =
101,214,547,200 possible ways
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Definitely get a 2nd opinion on this
( Unless you know what the answer should be )