40,320
Harvard has several rooming arrangements availableÊfor students. Students can live in gender neutral housing or in married and family housing.
Apex: Permutations
Factorial 8, ie 8 x 7 x 6 x 5 x 4 x 3 x 2 = 40320
There are no special health and safety arrangements for school rooms in which students take examinations.
To arrange the 3 girls into the first 3 places:The first place can be any one of 3 girls.The second place can be either of the remaining 2 girls.The number of different possible arrangements of the first 3 places is (3 x 2) = 6In a similar way, we can show that the number of different ways to line up the 7 boys is(7 x 6 x 5 x 4 x 3 x 2) = 5,040 .So the total number of arrangements of all 10 students is (6 x 5,040) = 30,240
There are 10560 possible committees.
TARC AFA students?
TARC AFA students?
24
There are 10 different sets of teachers which can be combined with 4 different sets of students, so 40 possible committees.
There are (10 x 9)/2 = 45 different possible pairs of 2 teachers. For each of these . . .There are (30 x 29)/2 = 435 different possible pairs of students.The total number of different committees that can be formed is (45 x 435) = 19,575 .
a dorm apex