How many different pairs of letters from the english alphabet are possible?

Hint:
Here, we need to find the number of pairs of letters in the word, ‘EXPERIENCED’ which have as many letters between them as in the word as in the alphabetical order. This means that the pair of letters must be such that the number of letters between them in the word ‘EXPERIENCED’, is the same as the number of letters between them if written in alphabetical order. We will list the pairs one by one and count the number of such pairs.

Complete step by step solution:
We need to find the number of pairs of letters in the word, ‘EXPERIENCED’ which have as many letters between them as in the word as in the alphabetical order.
This means that the pair of letters must be such that the number of letters between them in the word ‘EXPERIENCED’, is the same as the number of letters between them if written in alphabetical order.
For example, in the word ‘CHECKERS’, only 1 letter, H, comes between C and E. When written in alphabetical order, the only letter between C and E is D. Therefore, the number of letters between C and E is 1 both in alphabetical order, and in the word ‘CHECKERS’. Hence, C and E are 1 such pair of letters.
Now, we will find such pairs of letters in the word ‘EXPERIENCED’.
First pair: The letters P and R in ‘EXPERIENCED’.
In alphabetical order, there is only 1 letter between P and R, that is Q.
In the word ‘EXPERIENCED’, there is only 1 letter between P and R, that is E.
Second pair: The letters D and E in ‘EXPERIENCED’.
In alphabetical order, there are 0 letters between D and E.
In the word ‘EXPERIENCED’, there are 0 letters between D and E.
Third pair: The letters E and I in ‘EXPERIENCED’.
In alphabetical order, there are 3 letters between E and I, that is F, G, H.
In the word ‘EXPERIENCED’, there are 3 letters between E and I, that is E, N, C.
Fourth pair: The letters C and E in ‘EXPERIENCED’.
In alphabetical order, there is only 1 letter between C and E, that is D.
In the word ‘EXPERIENCED’, there is only 1 letter between C and E, that is N.
Fifth pair: The letters D and E in ‘EXPERIENCED’.
In alphabetical order, there are 4 letters between D and I, that is E, F, G, H.
In the word ‘EXPERIENCED’, there are 4 letters between D and I, that is E, N, C, E.
Thus, there are 5 such pairs of letters.

Therefore, the correct option is option (d).

Note:
Here, we need to remember that it does not matter if the letters are in alphabetical order or not. For example, we can see that in the word ‘EXPERIENCED’, E comes before C. We marked this as the fourth pair. However, in alphabetical order, C comes before E. The order does not matter because we are concerned with only the number of letters between them.

There are 26 letters in the English alphabet. So there are 26 different possibilities for the first initial. Consider all the possible pairs of two initials.

For example, suppose a person has the first initial A. Then the pair of initials could be AA, AB, AC, ., AZ. There are 26 different possibilities. If the first initial is B, the pair of initials could be BA, BB, BC, ., BZ. Again there are 26 different pairs.

Continuing in this way and since there are 26 possible first initials, each of which could be paired with 26 last initials, there are 26 × 26, or 676 possible different pairs of initials. If there were 677 people, at least two of them must have the same pair of initials.




Question 221548: How many different pairs of letters from the English alphabet are possible?
Answer by stanbon(75887)
How many different pairs of letters from the english alphabet are possible?
 
How many different pairs of letters from the english alphabet are possible?
 
How many different pairs of letters from the english alphabet are possible?
(Show Source):

You can put this solution on YOUR website!
Ans: 26C2 = (26*25)/(1*2) = 13*25 = 325
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ANOTHER WAY TO DO IT:
Choose the 1st letter: 26 ways
Choose the 2nd letter: 25 ways
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26*25 gives you the total number of pairs you could form
but it includes a/b and b/a which are really just one pair.
So you divide by 2 to get the number of unique pairs.
You get: (26*25)/(2) = 325 unique pairs.
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Cheers,
Stan H.


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Formally, a string is a finite, ordered sequence of characters such as letters, digits or spaces. The empty string is the special case where the sequence has length zero, so there are no symbols in the string. There is only one empty string, because two strings are only different if they have different lengths or a different sequence of symbols. In formal treatments, the empty string is denoted with ε or sometimes Λ or λ.

The empty string should not be confused with the empty language ∅, which is a formal language (i.e. a set of strings) that contains no strings, not even the empty string.

The empty string has several properties:

In context-free grammars, a production rule that allows a symbol to produce the empty string is known as an ε-production, and the symbol is said to be "nullable".

Use in programming languages[edit]

In most programming languages, strings are a data type. Strings are typically stored at distinct memory addresses (locations). Thus, the same string (for example, the empty string) may be stored in two or more places in memory.

In this way, there could be multiple empty strings in memory, in contrast with the formal theory definition, for which there is only one possible empty string. However, a string comparison function would indicate that all of these empty strings are equal to each other.

Even a string of length zero can require memory to store it, depending on the format being used. In most programming languages, the empty string is distinct from a null reference (or null pointer) because a null reference points to no string at all, not even the empty string. The empty string is a legitimate string, upon which most string operations should work. Some languages treat some or all of the following in similar ways: empty strings, null references, the integer 0, the floating point number 0, the Boolean value false, the ASCII character NUL, or other such values.

The empty string is usually represented similarly to other strings. In implementations with string terminating character (null-terminated strings or plain text lines), the empty string is indicated by the immediate use of this terminating character.

Examples of empty strings[edit]

The empty string is a syntactically valid representation of zero in positional notation (in any base), which does not contain leading zeros. Since the empty string does not have a standard visual representation outside of formal language theory, the number zero is traditionally represented by a single decimal digit 0 instead.

Zero-filled memory area, interpreted as a null-terminated string, is an empty string.

Empty lines of text show the empty string. This can occur from two consecutive EOLs, as often occur in text files, and this is sometimes used in text processing to separate paragraphs, e.g. in MediaWiki.

How many different pairs from the English alphabet are possible?

Again there are 26 different pairs. Continuing in this way and since there are 26 possible first initials, each of which could be paired with 26 last initials, there are 26 × 26, or 676 possible different pairs of initials.

How many 2 letter combinations are possible?

Answer and Explanation: There are 325 possible combinations with two letters. To determine this number of combinations, we use the fact that the alphabet has 26 letters.

How many such pairs of alphabet are there?

how many such pairs of letters are there in the word REASONING which has as many letters between them in the words as in the English alphabet? So there are three pairs of such alphabets in the word.

How many 2 letter combinations can be made from the letters abcd?

26²=676. There are 325 possible combinations with two letters. To determine this number of combinations, we use the fact that the alphabet has 26 letters....