At a small college: 31 female seniors were on the dean's list, 62 women were on the dean's list who were not seniors, 45 male seniors were on the dean's list, 87 female seniors were not on the dean's list, 96 male seniors were not on the dean's list, 275 women were not senior and were not on the dean's list, 88 men were on the dean's list who were not seniors, 227 men were not seniors and were not on the dean's list.
a) How many were seniors?
b) How many were women?
c) How many were seniors on the dean's list?
d) How many were on the dean's list?
e) How many were female seniors?
f) How many were women on the dean's list?
g) How many were students at the college?

There are 259 number of seniors, 455 women, 76 seniors in the Dean's list, 226 students in Dean's list, 93 female seniors, 62 women in Dean's list, 849 students at the college.

What is sum?

The total amount comes from the addition of two or more numbers, amounts.

How to find sum?

A) Seniors at the college=female seniors in the list+ male seniors in list+ female seniors not in list+ male seniors not in list.

=31+45+87+96

=259 seniors.

B) Women=women not seniors in list+ female seniors in list+ female seniors not in list+ women not seniors not in list

=62+31+87+275

=455 women.

C) Seniors in Dean's list=female seniors in list+ male seniors in list

=31+45

=76 seniors in Dean's list.

D) Students in Dean's list=female seniors in list+ male seniors in list + women not seniors in list + men in list not senior

=31+45+62+88

=226 students in Dean List.

E) Women in Dean's list=women not senior in list + women not senior in list

=62 +31

=93 women in Dean's list.

F) Students=female seniors in list+ women not seniors in list + male seniors in list + female seniors not in list + male seniors not in list+ women not seniors not in list+ men not seniors not in list+men in list not seniors

=31+62+45+87+96+275+227+88

=911 students

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