Six women and seven men are on the faculty in a history department at a school.(a)how many ways are there to the select a committee of five members of the department if atleast one woman is on the committee.(b)how many ways are there to the select a committee of five members of the department ifthere are exactly 3 women on the committee.

1266,420

Step-by-step explanation:

given that six women and seven men are on the faculty in a history department at a school.

women    Men

6             7

To be selected 5 members

a) There should be atleast one woman

No of ways to have atleast one woman = Total ways to select 5 members - no of ways that no woman is selected

=

(Because all members are selected from 7 men only)

= 1266

b) Exactly 3 women then no of men 2

So 3 from 6 women and 2 from 7 men to be selected

No of ways =

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.