Answer:336 ways
Step-by-step explanation:
Given
Kai Plans to enroll in four classes i.e. sociology ,chemistry, economics, and humanities
There are 7 sociology classes
4 chemistry classes
3 Economic classes
4 humanities classes
out of these we need to select 4 classes
no of ways in which kai can have sociology class [tex]=^7C_1=7[/tex]
no of ways in which kai can have chemistry class [tex]=^4C_1=4[/tex]
no of ways in which kai can have Economic class [tex]=^3C_1=3[/tex]
no of ways in which kai can have humanities class [tex]=^4C_1=4[/tex]
Total no of ways[tex]=^7C_1\times ^4C_1\times ^3C_1\times ^4C_1=336 ways[/tex]
