Question

How many 55-letter code words can be formed from the letters U, G, S, E, A if no letter is repeated? If letters can be repeated? If adjacent letters must be different?

Answer #1

5 -letter "words" are formed using the letters A, B, C, D, E, F,
G. How many such words are possible for each of the following
conditions?
a) No condition is imposed.
b) No letter can be repeated in a word.
c) Each word must begin with the letter A.
d) The letter C must be at the end.
e) The second letter must be a vowel.

a) How many four-letter words can be formed from the letters of
the word TAUDRY if each letter can only be used one time in a word?
Y is NOT considered a vowel in this word.
b) How many contain the letter Y?
c) How many contain all the vowels?
d) How many contain exactly three consonants?
e) How many of them begin and end in a consonant?
f) How. many begin with a D and end in a vowel...

a) How many four-letter words can be formed from the letters of
the word TAUDRY if each letter can only be used one time in a word?
Y is NOT considered a vowel in this word.
b) How many contain all the vowels?
c) How many contain exactly three consonants?
d) How many of them begin and end in a consonant?
e) How many contain both D and Y?

How many 3-letter passwords can be formed from the letters A
through Z if
a) all letters in the password must be different (i.e ARJ)
b) all letters in the password must be different and they are in
alphabetical order (i.e. AJR)
c) there are no restrictions (i.e. ARR)

How many different 6-letter radio station call letters can be
made a. if the first letter must be G or X and no letter may be
repeated? b. if repeats are allowed (but the first letter is G or
X)? c. How many of the 6-letter radio station call letters
(starting with G or X) have no repeats and end with the letter
R?

In the problems below, A and B can be repeated.
(a) How many 10 letter words can be formed using the letters A and
B? (b) How many of these 10 letter words contain at most 2 A’s?

(a) How many words with or without meaning, can be formed by
using all the letters of the word, ’DELHI’ using each letter
exactly once?
(b) How many words with or without meaning, can be formed by
using all the letters of the word, ’ENGINEERING’ using each letter
exactly once?

How many words can be formed by arranging the letters of the
word “EQUATIONS” such that the first letter of the word is a vowel
and the last position is a consonant letter? (Note: The words thus
formed need not be meaningful.)

how many letter codes can be created with the letters M, E, O, W
if letters can be repeated

you are trying to form a 6-letter code from the 26 letters of
the alphabet. suppose your code must follow the following
rules:
* the first two letters must be different vowels ( AEIOU). (
this means no repeats.)
* the next two letters have no restrictions in other words, any
letter is fine.)
* the last two letters cannot be a vowel, but they could
repeat.
how many different codes are possible?

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