Question

kai plans to enroll in four classes: sociology, chemistry, economics, and humanities. their are seven sociology classes, four chemistry classes, three economics classes, and four humanities classesthat fit his schecule. how many different ways can he slect his four classes?

Answer 1

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 $=^7C_1=7$

no of ways in which kai can have chemistry class $=^4C_1=4$

no of ways in which kai can have Economic class $=^3C_1=3$

no of ways in which kai can have humanities class $=^4C_1=4$

Total no of ways$=^7C_1\times ^4C_1\times ^3C_1\times ^4C_1=336 ways$