Let's call the stamps A, B, and C. They can each be used only once. I assume all 3 must be used in each possible arrangement.
There are two ways to solve this. We can list each possible arrangement of stamps, or we can plug in the numbers to a formula.
Let's find all possible arrangements first. We can easily start spouting out possible arrangements of the 3 stamps, but to make sure we find them all, let's go in alphabetical order. First, let's look at the arrangements that start with A:
ABC
ACB
There are no other ways to arrange 3 stamps with the first stamp being A. Let's look at the ways to arrange them starting with B:
BAC
BCA
Try finding the arrangements that start with C:
C_ _
C_ _
Or we can try a little formula; y×(y-1)×(y-2)×(y-3)...until the (y-x) = 1 where y=the number of items.
In this case there are 3 stamps, so y=3, and the formula looks like this: 3×(3-1)×(3-2).
Confused? Let me explain why it works.
There are 3 possibilities for the first stamp: A, B, or C.
There are 2 possibilities for the second space: The two stamps that are not in the first space.
There is 1 possibility for the third space: the stamp not used in the first or second space.
So the number of possibilities, in this case, is 3×2×1.
We can see that the number of ways that 3 stamps can be attached is the same regardless of method used.
Answer: Dave Will have $881 left to put into his savings.
Step-by-step explanation
So Lets look at this, He has $2000 to spend, he buys 3 tables for $58 each, 12 chairs for $65 each, and a watch for $165.
(2000-(3*58)-(12*65)-165)=881
Answer:
B
Step-by-step explanation:
x is the value of x which you input into the function and f(x) is the actual function and therefore the output. so when x=3, f(x)= -2. f(3)=-2
Answer:
-4 <n <= 5
Step-by-step explanation:
Open at -4 and closed at 5 on number line so the inequality should be
-4 <n <= 5
Answer:
X = 6.25 ft.
Step-by-step explanation:
From the figure:
∵ Two angles in the small flag = the corresponding angles in the large flag
∴ Two flags are similar
∴ Their sides are proportional
∴ 
∴ x = 6.25 ft
