SOLUTION: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
Using the letters of the word YOUNG, tell how many different 5-let
Algebra.Com
Question 146353: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:
the first letter must be Y
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:
the first letter must be Y
There is only one combination, but I think you mean "how many permutations are possible?"
This is the formula for permutation
.
.
Where "n" is how many choices there are, "k" is how many choices can be used at a time.
.
The "!" means you multiply all numbers down to 1.
.
Example:
.
In our problem, there are only four choices, since "Y" has to stay where it is, it can't move, It will always have to be the first letter
.
We can use all the letters except "Y" , so we can use all four choices. Both "n" and "k" are 4.
.
We can replace "n" and "k" with 4
.
.
0! is equal to 1
.
.
.
The answer is 24, There are 24 different possibilities.
.
Hope I helped, Levi
RELATED QUESTIONS
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by BrittanyM)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by BrittanyM)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by edjones)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by stanbon)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by edjones)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by checkley77)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by stanbon)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by oscargut)
Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by BrittanyM)