Given:
Measure of a cube = 1 unit on each side.
Dimensions of a space 2 units by 3 units by 4 units.
To find:
Number of cubes that can be fit into the given space.
Solution:
The volume of cube is:
Where, a is the side length of cube.
So, the volume of the cube is 1 cubic units.
The volume of the cuboid is:
Where, l is length, w is width and h is height.
Putting 
, we get
So, the volume of the space is 24 cubic units.
We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.
Therefore, 24 cubes can be fit into the given space.
<span>The answer is 6x^2y^2z(xy+2z^2).</span>
Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
Answer:
In about 4 hours I think
Step-by-step explanation:
