Stu dent has 7 different math books, 5 different science books and 10 different engineering books. find the number of ways to pick two books with different subjects.

155

Step-by-step explanation:

Number of math books = 7

Number of science books = 5

Number of engineering books = 10

We need to find the number of ways to pick two books with different subjects.

Solution :

We will use combination here .

If we need to choose r objects from total n objects ,

So, number of ways to pick two books of same subjects =

Also, number of ways to select any two books =

Therefore , number of ways to pick two books with different subjects =

number of ways to select any two books - number of ways to pick two books of same subjects = 231 - 76 = 155

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50