A class of 26 students includes 12 who play football, 15 who play basketball, an
ID: 3429854 • Letter: A
Question
A class of 26 students includes 12 who play football, 15 who play basketball, and 4 who play both soccer and baseball. How many students in the class play neither piano nor guitar? Show work
A college offers 2 introductory courses in history, 3 in science, 2 in philosophy, 4 in mathematics, and 3 in English. If a freshman takes one course in each area during her first semester, how many course selections are possible? Show work
A couple is planning to have 4 children. They could be all girls, all boys, or some of each. How many groupings are possible? Solve using the multiplication principle of counting. Show work
Explanation / Answer
(1) number of play football + number of play basketball - number of both
=12+15-4
=23
So answer is 26-23=3 students
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(2) 2*3*2*4*3 = 144
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(3) Let G be girl
Let B be the boy
So the possible groupings are
{GGGG, GBBB, BGBB, BBGB, BBBG
GGBB, GBGB, GBBG, BBGG, GGBB,BGGB
GGGB, GGBG, GBGG, BGGG,
BBBB}
There are 2^4 =16
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