Answer:
Amy can choose from 60 possible passwords.
Solution:
Given that the two-letter password is from the letters A, B, C, D, E and F
Total number of letters = 6
The password is a two digit letter and repetition of letters is not allowed.
Method 1:
\therefore The number of ways of obtaining an ordered subset of r elements from a set of n elements is given by
So, the total possible password = = =
On cancelling the in numerator and denominator we get,
Here we get, = 30 possible passwords
Method 2:
There are 6 possible choices for the first term of the password and 5 choices for the second term (i.e. leaving the selected letter of the term)
So,
Answer:
30
Step-by-step explanation:
6 choices for the 1st, then 5 choices for the 2nd, so: 6*5=30
or nPk=n!/(n-k)! with n=6 and k=2
Put it simply each letter can be combined with 5 diffrent letters and with 6 total letters 6x5=30
S and P
S and Y
Y and P
P and Y
Answer:
A
Step-by-step explanation:
It is included between angle S and angle P as the name indicates "PS"
Answer:
Step-by-step explanation:
In ΔYPS we have sides YP, PS and YS. We have angles S, P and Y.
In the image attached you can observe that side PS is between angles P and S.
Therefore, the right answer is the first choice.
(step by step)
B) 1:18 to signify pies to cookies
C) 2:1 to signify cakes to pies
D) 2:4 to signify cakes to pies
The ratio that does not illustrate a comparison from the items created in Suzanne's bakery is option D) 2:4 to signify cakes to pies.
The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the twonumbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Suzanne was baking treats for her bakery's grand opening.
Since, She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen cookies.
Option A) 1:9 signifies a comparison of the number of cakes to the number of cookies.
Option B) 1:18 signifies a comparison of the number of pies to the number of cookies.
Option C) 2:1 signifies a comparison of the number of cakes to the number of pies.
However, option D) 2:4 does not illustrate a comparison between any of the items created in Suzanne's bakery.
This is because there are no given ratios for the number of cakes to the number of pies, or the number of cakes to the number of cakes plus pies.
Therefore, option D) is the correct answer.
Learn more about ratios here:
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