Answer:
0 (1,2,3,4,5,)and (0,1,2,3,4,5,)
Answer: 9 3/4 feet long
Explanation:
1 1/2 x 6 1/2 = 3/2 x 13/2 = 39/4 = 9 3/4 feet long
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Answer:
n = 1 second formula
n = 0 first formula
Step-by-step explanation:
I answer this in the other question you put, here it is again.
This is easy to get. We know the sequence cause it follows a pattern of 8, so let's try some values of n from 1 to 4, to get those numbers with the first formula:
n = 1,2,3,4
f(1) = 8(1) + 2 = 10
f(2) = 8(2) + 2 = 18
f(3) = 8(3) + 2 = 26
f(4) = 8(4) + 2 = 34
As you can see, with the first formula, the first term is 10, and not 2. The only way to get 2 with n = 1 is with the second formula:
f(1) = 8(1) - 6 = 2
f(2) = 8(2) - 6 = 10
f(3) = 8(3) - 6 = 18
f(4) = 8(4) - 6 = 26
With n = 1, the second formula was better and correct.
The first formula could be right only beggining with n = 0. Here is the proof:
f(0) = 8(0) + 2 = 2
