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A certain college has 11989 students. Assume
A certain college has 11989 students. Assume that 6120 are unemployed sophomores, juniors, or seniors and that 4104 are employed sophomores, juniors, or seniors. There are 745 employed freshmen. Use F for freshmen and E for employed students, and make a Venn diagram marking the number of students in each region of the diagram. How many freshmen are there?
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*** us ****** *** following *************
*
* Employed ********* *
*
Unemployed Freshmen * *
********
*********** d * Unemployed
***********
* * ******** Juniors
*
* Unemployed ******** *

******** ******** h *
**********
Seniors From *** *****
*****
***** ****** of studentsa
*
* + * *
d
* * * * +g * * = ***** ****** 1 ********** ********** ******* ** ******* * + f * **
6120
> ** ******** sophomores ******* ** seniors c * * * g =
4104>
3 ******** ******** a * *** ****** ** Subtracting the *** ** equations
***
**** ** we *** * * *****
*****
number ** freshmem = * * b *
1765
**** Total ****** ** ********
*******
* * * * * * * g * ** *
*
* * **** **** Venn ******* ** ********