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 ******* ** ********

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    Venn_diagram.png

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