data management
posted by Lisa .
For MAMMALS, find the munber of:
a) 7letter words
b) 7letter word beggining with MA
c) 4letter words
i) all letters different
ii) 2 letters same,2 different
iii) 2 pairs same letters
iv) 3 letters same

data management 
Damon
I am not doing the problem for you but perhaps I can give you an idea.
Let's see. I have to work with
M M M A A L S
If all letters were different the answer would be 7!, but they are not.
Let me try a simpler example
Say
A A B B
A B A B
A B B A
B A A B
B B A A
B A B A Hmm six of them, not 4!
Looks like permutations of 4 items divided by permutations of 2 As divided by permutations of 2 Bs
4!/(2!*2!) = 4*3*2 /( 2*2) = 6
Let's try it with 3 As and 1 B
A A A B
A A B A
A B A A
B A A A Is that 4!/(3!*1!) ?
4*3*2 /(3*2*1) = 4, sure enough.
Respond to this Question
Similar Questions

Data Management
For PLANETS, find the number of : 4letter words which must include a L and A For MAMMALS, find the munber of: a) 7letter words b) 7letter word beggining with MA c) 4letter words i) all letters different ii) 2 letters same,2 different … 
Maths
A word made by writing the seven letters used to spell "EXAMPLE" in some order. Find how many different 'words' are possible in each of the following cases. a) The first and the last letter are each "E" b) The two letters "E" are next … 
Socials Crosswords
Canada and the Twenties... New form of signage? 
HSPA Prep
Marybeth is trying to remember her 4letter password. All she remembers is that no two letters in her password are the same. How many different permutations are there if the combination of letters does not have to be an actual word? 
geometry
In the English alphabet, there are 7 capital letters that look the same after being rotated 180∘. Those letters are H, I, N, O, S, X, and Z. How many different 3 letter "words" can be made from these letters such that when the … 
Combinations
Anna was opening a new restaurant, so she went to the sign store to get letters to make a sign to hang above the storefront. When she got to the sign store, the only letters they had in stock were two copies of the letter 'X,' two … 
History
Even though I asked this before, can you please help me with this and yes it's a crossword puzzle. My teacher gave us clues that don't really help at all and I've looked back in my textbook but I can't find the words for each clue. … 
Counting and Probability
How many 2letter "words" consist of two different letters arranged in alphabetical order? 
Math
Substitute numbers for the letters to make the equation true. Same letter has the same number. Different letters have different numbers. x + x + y = 20 y + a  y = 9 y + x = 13 
proportion and percentages problems
four dozen letters weigh 1kg 200g find the weight of a 1 letter b 10 letters c 38 letters if each weighs the same amount. please reply asap thank you:D