Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
939/10,000 the decimal place indicates the fraction. You would love the decimal over 4 spaces which is the ten thousands place so that is what you set 939 over!
°°°4°°°2°°°-18°°°°°°38
•|
-3|°°°-12°°°30°°°°°-36
------------------------------'
°°°4°° -10 12°°°°° °°2
remainder=2
Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is 
is predicate that 
then 
. where 
are rational numbers.
a)
when 
Here 
that is satisfied. Then
this is wrong. since 
That is 
Thus 
is false.
b)
Assume 
.
That is 
Here 
that is this condition is satisfied.
Then
this is not true. since 
.
This is similar to the truth value of part (a).
Since in both satisfied and 
for both the points.
c)
if 
that is 
and 
Here 
this satisfies the condition .
Then 
This also satisfies the condition .
Hence 
exists and it is true.
d)
Assume 
Here 
satisfies the condition
Then 
satisfies the condition .
Thus, 
point exists and it is true. This satisfies the same values as in part (c)
