Question
In: Advanced Math
Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5,...
Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
(a)
How many strings of hexadecimal digits consist of from one through four digits?
(b)
How many strings of hexadecimal digits consist of from two through five digits?
Solutions
Expert Solution
Multiplication rule: if an operation consists of k steps. where
the first step can be performed in n1 ways, second step in n2 ways
and the kth step in nk ways ,
then the operation can be performed in n1*n2*...*nk ways
Addition rule : If a finite set A is the union of k distinct
mutually disjoint subset A1, A2, ... ,Ak, then :
N(A)=N(A1)+N(A2)+N(A3)+...+N(Ak)
If you need any further clarification regarding this problem feel
free to comment below
Colby Messinger answered 1 year agoRelated Solutions
Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,...
Hexadecimal digits are 0, 1, 2, 3, 4,
5, 6, 7, 8, 9, A, B, C, D, E, and F.
How many hexadecimal strings of length twelve have five A’s and
five B’s?
How many hexadecimal strings of length twelve have at most
three E’s?
How many hexadecimal strings of length twelve have exactly
three A’s and at least two B’s?
How many hexadecimal strings of length twelve have exactly two
A’s and exactly two B’s, so that the two...
How many 3-digit numbers can we make using the digits 1, 2, 3, 4, 5, 6...
How many 3-digit numbers can we make using the digits 1, 2, 3,
4, 5, 6 without repetitions? How about with repetitions (meaning
different digits can hold the same number; e.g., 223 and 444 are
valid 3-digit numbers in the with repetitions case)?
How many valid 3 digit numbers can you make using the digits 0, 1, 2 and...
How many valid 3 digit numbers can you make using the
digits 0, 1, 2 and 3 without
repeating the digits? How about with repeating?
5. Using only the digits of 1, 4, 5, 8, (a) How many three digit numbers...
5. Using only the digits of 1, 4, 5, 8, (a) How many three digit
numbers can be formed? (b) How many odd numbers greater than 10 can
be formed? (c) How many even number less than 300 can be
formed?
Repetition is allowed!
exampleInput.txt 1 2 3 0 2 3 4 0 1 3 5 0 1 2 6...
exampleInput.txt
1 2 3
0 2 3 4
0 1 3 5
0 1 2 6
1 5 6 8
2 4 6 7
3 4 5 9 10
5 8 9
4 7 9
6 7 8
6
How can I detect when 'cin' starts reading from a new line. The
amount of numbers in each row is unknown. I need them in type 'int'
to use the data.
Using the digits 0 through 8, find the number of different 5-digit numbers such that: a....
Using the digits 0 through 8, find the number of different
5-digit numbers such that:
a. Digits can be used more than once.
b. Digits cannot be repeated, but can come in any order.
c. Digits cannot be repeated and must be written in increasing
order.
d. Which of the above counting questions is a combination and
which is a permutation? Explain why this makes sense.
DATA 3 8 2 15 2 2 0 0 4 5 2 7 0 1 5...
DATA
3
8
2
15
2
2
0
0
4
5
2
7
0
1
5
3
0
2
5
4
1
6
9
5
3
1
2
10
6
1
1
2
1
19
6
6
6
7
0
4
1
1
1
0
1
9
2
2
2
1
16
10
10
5
2
3
1
4
4
4
3
6
2
8
5
2
7
1
6
4
0
3
1
1
1
Background:
A group of...
x (Bins) frequency 0 0 1 0 2 0 3 2 4 5 5 8 6...
x (Bins)
frequency
0
0
1
0
2
0
3
2
4
5
5
8
6
13
7
33
8
42
9
66
10
77
11
105
12
103
13
110
14
105
15
84
16
70
17
51
18
40
19
27
20
27
21
15
22
5
23
7
24
2
25
2
26
1
27
0
28
0
29
0
30
0
(7) On the Histogram worksheet, calculate all
frequencies of the distribution using the table shown....
Find the distances: A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 . B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 ....
Find the distances:
A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 .
B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 .
C) From the point (1,2,3) to the line ?=〈−?,4−?,1+4?〉 .
How many three-digit numbers can be formed from the digits 0,1, 2, 3, 4, 5, 6,...
How many three-digit numbers can be formed from the digits 0,1,
2, 3, 4, 5, 6, 7, and 8 if each digit can be used only once? I got
this: 448
How many are greater than 330? <- I don't understand how to
answer this.
I have looked up the answer and could probably figure it out,
but please explain where the numbers you are multiplying are coming
from. I want to learn how to answer this type of question...
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