MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

Answer:336 waysStep-by-step explanation:Given Kai Plans to enroll in four classes i.e. sociology ,chemistry, economics, and humanities There are 7 sociology classes4 chemistry classes 3 Economic classes4 humanities classesout of these we need to select 4 classesno 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]