SOLUTION: How many 4-letter combinations can be made from the word MATHLOVER if... A.) no repetition of letters is permitted:______ B.) letters may be repeated:________

SOLUTION: How many 4-letter combinations can be made from the word MATHLOVER if... A.) no repetition of letters is permitted: B.) letters may be repeated:___

Question 1044103: How many 4-letter combinations can be made from the word MATHLOVER if...
A.) no repetition of letters is permitted:______
B.) letters may be repeated:_________
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

There are different letters in the word MATHLOVER.
a) So we need letters from the letters in 'mathlover' and no repetition of letters is permitted.
If you choose the first letter you have possibilities, for the 2nd you have .. and so forth
Therefore:
Number of combinations =

b) You see you can do the same but if things might be repeated you have possibilities every time;
therefore number of combinations =

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
On combinations and permutations see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.

RELATED QUESTIONS
a 4-letter word is to made using letters from the set (a,b,c,d,e,f) How many words are... (answered by sudhanshu_kmr)
How many 3-letter passords can be made using the letters A thought Z if... a) Repetition (answered by ikleyn)
how many ways 4 letter combinations can be formed out of the letters of the word... (answered by rothauserc)
how many 3-letter words can be made from the letters MATH if repetition of letters is (answered by Alan3354,MathLover1)
How many 7-letter words can be made from the letters WASTEFUL if repetition of letters (answered by ikleyn)
How many different four-letter words can be formed from the letters: a,b,c,d,e,f, and g... (answered by edjones)
How many 3 letter words can be made using the letters of the word "COMPANY" if there is... (answered by stanbon)
1.Q1: From the letters of MISSISSIPPI, how many different 11 letter words can be... (answered by ikleyn)
How many four - letter arrangement can be made to the letters of the word “humble”... (answered by greenestamps)

SOLUTION: How many 4-letter combinations can be made from the word MATHLOVER if... A.) no repetition of letters is permitted:______ B.) letters may be repeated:_________

SOLUTION: How many 4-letter combinations can be made from the word MATHLOVER if... A.) no repetition of letters is permitted: B.) letters may be repeated:___