Answer:
720
Step-by-step explanation:
Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).
P(10,3)=10! / (10-3)!
= 10!/7!
Rewrite 10
! as
10 * 9 * 8 * 7
! / 7!
Cancel the common factor of 7
! and divide (
10 * 9 * 8
) by 1
10 * 9 * 8 = 720
Answer:
0
Step-by-step explanation:
The formula gives you a relation between S and n. For every n, you can perform the calculation and obtain an S.
So, for n=0 we get 0/2 (0+1) which equals 0. So (0,0) is an (n,S) pair.
Answer:
6
Step-by-step explanation:
Given mixed operations there is a particular order that must be followed.
Using the order set out in the acronym PEMDAS
P - Parenthesis ( brackets ), E- Exponents ( powers ), M - Multiplication, D - Division, A- Addition, S - Subtraction
8 + 24 ÷ (2 × 6) - 4
= 8 + 24 ÷ 12 - 4 ← parenthesis
= 8 + 2 - 4 ← division
= 10 - 4 ← addition
= 6 ← subtraction
(-6)(-0.4)(-0.5) = (-1)6⋅4⋅5⋅10⁻² = -1.2
Answer:
The answer is option (C). The width of the rectangle=6 inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
width=w
length=w+6
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=36 inches
L=w+6
w=w
replacing;
2(w+w+6)=36
2(2 w+6)=36
4 w+12=36
4 w=36-12=24
4 w=24
w=24/4=6
W=6 inches
L=6+6=12 inches
The width of the rectangle=6 inches
