All GRE Subject Test: Math Resources
Example Questions
Example Question #51 : Combinational Analysis
How many ways can I arrange the letters in the word CORRECT?
Step 1: Count how many letters are in the word CORRECT...
There are letters.
Step 2: Find any letters that repeat and how many times they repeat:
C (two times), R (two times)
Step 3: Find how many ways can I arrange the letters:
Example Question #52 : Combinational Analysis
people are at a farewell party. At the end of the night, each person shakes hands. How many handshakes are made?
NOTE: No two people can shake hands more than once.
Step 1: Determine how many people are there..
There are people.
Step 2: Determine how many people shake hands in a handshake...
people make one handshake.
Step 3: Determine how many handshakes can be made...
We have a restriction here, so we need to use permutation..
So, there will be handshakes.
handshakes
Example Question #101 : Probability & Statistics
In how many ways can I rearrange the letters in the word "ANACONDA"?
Step 1: Count how many letters are in the word ANACONDA...
There are 8 letters.
Step 2: Count how many repeats of any letters (if any)..
There are A's and N's.
Step 3: Find how many ways I can rearrange...
Example Question #101 : Probability & Statistics
How many ways can I arrange the letters in the word ?
Step 1: Count how many numbers are in the word...
There are letters.
Step 2: Count the number of repeated letters...
There are T's
There are O's
There are R's
Step 3: To find how many ways I can arrange the letters, take the factorial of the total number of letters and divide it by the factorial of how many times a certain letter repeats...
So,