How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 ​students? The committee of 7 members can be selected in BLANK
different ways.​

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

with the condition we obtain that,

therefore substitute:

simplify Parentheses:

rewrite:

reduce fraction:

rewrite 12 and 10:

reduce fraction:

simplify multiplication:

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

simplify which yields:

hence,

The committee of 7 members can be selected in BLANK different ways is

and we're done!

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!