How many different outfits can be made when choosing between 3 shirts, 4 pairs of shorts and 2 pairs of shoes? show work.

24 outfits

Step-by-step explanation:

Since you have 4 choices of shirts, then 3 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 3 x 2. This gives you 24 outfit options.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.