Answer:
a.)The total 4-letters passwords when repetition of letters is allowed are 456976
b.)The total 4-letters passwords when repetition of letters is not allowed are 358800
Step-by-step explanation:
Some situations of <em>probability</em> involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.
There are two ways to sort or combine results from dependent events. <em>Permutations</em> are groupings in which the order of objects matters. <em>Combinations</em> are groupings in which content matters but order does not.
How many 4-letter passwords can be made using the letters A throught Z if...
a)Repetition of letters is allowed?
There are only 26 possible values for each letter of the password (The English Alphabet consists of 26 letters). The total 4-letters passwords when repetition of letters is allowed are 
b) Repetition of letters is not allowed?
If repetition of letters is not allowed, we can only choose 4 letters out of 26. Using the permutation equation 
The total 4-letters passwords when repetition of letters is not allowed are 
.
60*(1-x)=36
60-60x=36
-60x=36-60
-60x=-24
x=24/60
x=4/10
x=2/5
x=0.4
36 is 40% less than 60
In 81963:
8 is in the ten thousands place
1 is in the thousands place
9 is in the hundreds place
6 is in the tens place
3 is in the ones place
hope this helps
Answer:
Molly would be 1 years old.
Step-by-step explanation:
"In three years..."
(m+3) will be Molly's age then.
(h+3) will be Heidi's age then.
(h+3) = 2(m+3) :: given.
.
Subsitute what we know about m, which is it equal h-4.
.
(h+3) = 2(m+3)
(h+3) = 2m + 6
substitute m=h-4
(h+3) = 2(h-4) +6
h +3 = 2(h -4) +6
h +3 = 2h -8 +6
h +3 = 2h -2
h = 2h -8 +3
-h = -5
h = 5
Heidi is 5 years old now.
.
m = h-4
m = 5-4
m = 1
Molly is 1 years old now.
The future worth (F) of the current investment (P) that has an interest (i) that is compounded annually is calculated through,
F = P x (1 + i)^n
where n is the number of compounding period. Substituting the given values,
F = ($2,400) x ( 1+ 0.02)^7 = $2,756.85
Thus, the future worth is approximately $2,756.85. The answer is the second choice.