For this type of problem, order doesn't matter in which you select the number of people out of the certain group. We use combination to solve the problem.
Some notes to know what is going on with this problem:
• You want to form a committee of 2 teachers and 5 students to be formed from 7 teachers and 25 students • Then, you select 2 teachers out of 7 without repetition and without considering about the orders of the teachers.
• Similarly, you select 5 students out out 25 without repetition and without considering about the orders of the students.
Therefore, the solution is (25 choose 5)(7 choose 2) ways, which is equivalent to 1115730 ways to form such committee!
32
84 students and six teachers.Students per teacher = (number of students) / (number of teachers)= 84 / 6= 14
18
20 x 19 x 18/3 x 2 = 1,140 groups
Committee has three syllables.
There are 10560 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.
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 .
Possibilities are (9 x 8)/2 times (49 x 48 x 47 x 46)/24 = 366,121,728/48 =7,627,536 different committees.
There are 10 different sets of teachers which can be combined with 4 different sets of students, so 40 possible 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.
56 divided by 3 is 18 remainder 2.
There are 25 teachers and 487 students.
the answer is 56 divided by 3 is 18 remainder 2
32
86 students, 34 teachers pop: 120
84 students and six teachers.Students per teacher = (number of students) / (number of teachers)= 84 / 6= 14