Question

The letters of the word “PROBLEM” are arranged in a random
order.

a. How many different arrangements are possible?

b. How many arrangements will start with “OE” or “EO”?

c. How many start with "M" and end with "P"?

Answer #1

Permutations---------
In how many distinct ways can all the letters of the word
UNBELIEVABLE be arranged amongst themselves if
a) there are no restrictions?
b) the arrangement begins with the letters I V A, in that
order?
c) the arrangements must begin and end with a consonant?

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?

How many distinguishable ways can the letters of the word
COMMUNICATION be arranged in order?

How many different arrangements of the letters in the word
LOLLIPOP are there?

Q6.
In how many different ways can the letters of the word
'MATHEMATICS' be arranged so that the vowels always come
together?

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

How
many different "words" can you make using all the letters of the
word MISSISSIPPI if
a) there are no restrictions
b) the word must end with an I
c) the word cannot end in an I

1. How many permutations are there of the letters in the word
RINSE, if all the letters are used without repetition?
2. In how many distinct ways can the letters of the word SELLS
be arranged?

Using seven different Scrabble blocks with the letters:
a,e,o,n,r,s,t written on them:
a) How many different seven letter arrangements are
possible?
b) How many three letter arrangements are possible?
c) If I choose three letters, then in how many ways can I do
this
d) If I select six letters then in how many ways can I do
this

how many distinguishable permutations of letters are possible
using the letters in the word maryland?
A. 20,160
B. 5,040
C. 40,320
D. 80,640

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