QUESTION

# 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 ******* ** ********