Question

How many different 4-letter radio station call letters can be made

a. If the first letter must be K, Z, or P and no letter may be repeated

b. if repeats are allowed (but the first letter is K, Z, or P)?

c. How many of the 4-letter radio station call letters (starting with K, Z, or P) have no repeats and end with the letter J?

Answer #1

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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?

How
many different 4-letter radio station call letters can be made if
thr first letter must be K or W, repeats are allowed, but the call
letters cannot end in an O?

. How many different letter arrangements can be made
from the letters of the word
KALAMAZOO

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 different license plate numbers can be made using 2
uppercase letters from A-Z and 4 digits from 0-9 if letters and
digits may be repeated? (This means that BC4244 is a valid license
plate).

In how many ways can the letters in the word
TRAPEZOIDS be arranged:
a) if you must use 6 different letters?
b) if you use any 6 letters and repetitions are allowed?
c) if the six-letter arrangement must start and end with a
consonant, and repetitions are not allowed?

A secret code for a bank vault consists of 4 letters, then 4
digits and then 2 more letters.
1.How many different codes are possible?
2.How many codes are possible if repeating letters and digits is
not allowed?
3.How many codes are possible if repeats are not allowed and the
first letter must be 'P' and the fourth digit must be '6'?
4.If the wrong code is entered the vault automatically locks and
the alarm sounds. Suppose repeating letters and...

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)

The ID badges at All Pro Gym consist of 4 letters and 2 numbers.
How many badges can be made if the first letter cannot be a X or a
Z and repetition of letters and numbers is not allowed.

Determine how many different computer passwords are possible if
(a) the digits and letters can be repeated, and (b) if the digits
and letters cannot be repeated.
i. 4 digits followed by 2 letters
ii. 5 digits followed by 1 letter.
iii. 3 digits followed by 3 letters

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