Answer:
The total numbers of possible combinations are 3430.
Step-by-step explanation:
Consider the provided information.
A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.
Here, for the first digit we have 10 choices.
For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.
For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.
For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.
So the number of choices are:
Hence, the total numbers of possible combinations are 3430.
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
Answer:
the correct one is the first option
Step-by-step explanation:
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