That depends. Are all the positions equal, will they all just be members of the committee or will there be a chairman, vice-chairman, secretary, treasurer, etc.?
Assuming all are equal positions, then order of selection does not matter, then
(25x24x23x22x21x20)/(6x5x4x3x2x1) = 177,100
6,375,600
53,130 ways.
Possibilities are (9 x 8)/2 times (49 x 48 x 47 x 46)/24 = 366,121,728/48 =7,627,536 different committees.
You can select 4 of the 9 teachers in any order, and for each of those selections you can select 2 of the 41 students in any order. This is two combinations → number_of_ways = ₉C₄ + ₄₁C₂ = 9!/((9-4)!4!) + 41!((41-2)!2!) = 126 + 820 = 946 different committees.
Asian countries have strong traditions of doing the best so they can get the best jobs, following from the relatively low number of positions available per capita. American students do not 'need' to do as well absolutely, only relatively. So Asian students study and work harder, and they do better as a result.
6,375,600
53,130 ways.
There are 10560 possible committees.
Alberta Students' Executive Council was created in 1982.
There are 10 different sets of teachers which can be combined with 4 different sets of students, so 40 possible committees.
To calculate the number of ways a committee of 6 can be chosen from 5 teachers and 4 students, we use the combination formula. The total number of ways is given by 9 choose 6 (9C6), which is calculated as 9! / (6! * 3!) = 84. Therefore, there are 84 ways to form a committee of 6 from 5 teachers and 4 students if all are equally eligible.
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You can join the placement committee in college to help influence were students are placed. If you are a student this will help your voice be heard.
Possibilities are (9 x 8)/2 times (49 x 48 x 47 x 46)/24 = 366,121,728/48 =7,627,536 different committees.