Since in a pass code, the placement of the digits is
important, therefore this means that to solve for the total number of
possibilities we have to make use of the principle of Permutation. The formula
for calculating the total number of possibilities using Permutation is given
as:
P = n! / (n – r)!
where,
n = is the total amount of numbers to choose from = 20
r = is the total number of digits needed in the passcode =
4
Therefore solving for the total possibilities P:
P = 20! / (20 – 4)!
P = 20! / 16!
P = 116,280
<span>Hence there are a total of 116,280 possibilities of pass
codes.</span>
I don’t really get that sorry I would love to help but don’t know what that mean.
<u><em>Answers:</em></u>
Rotating
Reflecting
Translating
<u><em>Explanation:</em></u>
Congruence transformation is a transformation that does not change neither the side lengths nor the measures of the angles.
This means that the formed image is an exact copy of the original figure
<u>Now, let's check the options:</u>
<u>1- Shrinking:</u> This means that we are decreasing the side lengths.
This option is incorrect
<u>2- Rotating:</u> This means that we are just changing the orientation of the figure without altering any measurements.
This option is correct
<u>3- Reflecting:</u> This means that we are just changing the orientation of the figure without altering any measurements.
This option is correct
<u>4- Stretching:</u> This means that we are increasing the side lengths.
This option is incorrect
<u>5- Translating:</u> This means that we are just changing the position of the figure without altering any measurements.
This option is correct
Hope this helps :)
