2. Decide whether the exercise involves permutations or combinations, and then solve the problem. In a club with 7 male and 11 female members, how many 6-member committees can be chosen that have
(a) all men?
(b) all women?
(c) 4 men and 2 women?
Does the problem involve permutations or combinations?

I think they are all combination because order doesn't matter but I don't have a calculator with me to give you EXACT answers for all of them

Step-by-step explanation:

I think combinations because order doesn't matter; or it isn't mentioned. I could be wrong as I'm still learning and confused with finite as well. But to do these, you would do the formula of the probability of an event which is E= favorable outcome/total probabilities.. so for all men 7c6/18c6 and then do the same thing for the rest but for the right ratios and whatnot.

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺