The number of applicants is 20.
a).The number of ways 20 applicants can be split into two jobs is a question of combination as arrangment is not a necessity in this problem.
b).The number of ways in which 20 applicant can be split into these two jobs categories can be determined as,
Thus, there will be 21 ways in which the jobs can be split into these two categories.
Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem
Since given AD=BC,let us plugin BC=x in above step.
6x=11
x=
Now we know AD=x= and given CD=√2.
Let us apply Pythagoras theorem for ΔACD
= 2.315cm