How many different committees can be formed from 8 teachers and 38 students if the commin how many ways can the committee of 8 members be selectedttee consists of 4 teachers and 4 students?
In how many ways can the committee of 8 members be selected

5,167,050

Step-by-step explanation:

8C4 ways for teachers and 38C4 ways for students

i.e. 8!/4!4! => 70 ways for teachers

38!/4!34! => 73,815 ways for teachers

Choices are independent so 70 x 73,815 => 5,167,050 in total

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

if you was gonna solve for a, a is a   < -12