Question

How many 3 letter words (both nonsense and sensical) may be
formed out of the letters of the word 'PROBABILITY'?

The choices given are:

a. 210

b. 432

c. 552

d. 531

e. 1960

Answer #1

Option c) 552

How many words (both nonsense and sensical) may be formed using
all the letters of the word SENSELESS where N and L are the first
and last letters. (i.e. Case 1: N _ _ _ L and Case 2: L _ _ _ _
N)
The choices given are:
70
35
840
1260
1960

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?

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...

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 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 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?

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 “words” are there of length 4, with distinct letters,
from the letters {a, b, c, d, e, f}, in which the letters appear in
increasing order alphabetically. A word is any ordering of the six
letters, not necessarily an English word.

1.) How many “words” are there of length 4, with distinct
letters, from the letters {a, b, c, d, e, f}, in which the letters
appear in increasing order alphabetically. A word is any ordering
of the six letters, not necessarily an English word.
2.) Prove that every graph has an even number of odd nodes.

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