Respuesta :
The ways are the [tex]C_{20} ^{90}[/tex] which are we there to select the applicants who will be hired with the help of combination.
According to the statement
we have to find that the number of ways are there to select the applicants who will be hired.
So, For this purpose, we know that the
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Here we use the combination.
And from the given information:
20 applicants from a pool of 90 applications will be hired.
And according to this the combination becomes:
[tex]C_{20} ^{90}[/tex]
then solve it
[tex]C_{20} ^{90} = \frac{90!}{20! (70!)}[/tex]
[tex]C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}[/tex]
Then after solve it
[tex]C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}[/tex]
Now open another factorial
[tex]C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}[/tex]
Now solve this then
[tex]C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}[/tex].
So, The ways are the [tex]C_{20} ^{90}[/tex] which are we there to select the applicants who will be hired with the help of combination.
Learn more about combination here
https://brainly.com/question/11732255
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