Answer:
Step-by-step explanation:
In a word where no letters are repeated, such as FRANCE, the number of distinguishable ways of arranging the letters could be calculated by 5!, which gives 120. However, when letters are repeated, you must use the formula
n
!
(
n
1
!
)
(
n
2
!
)
...
Explanation:
There are 4 s's, 3 a's and a total of 9 letters.
9
!
(
4
!
)
(
3
!
)
=
362880
24
×
6
= 2520
There are 2520 distinguishable ways of arranging the letters.
Practice exercises:
Find the number of distinguishable ways of arranging the letters in the word EXERCISES.
Find the number of distinguishable ways of arranging letters in the word AARDVARK.
SEM or PPC THAT'S THE ANSERW
Answer:
We will begin with the graph of the tangent function, plotting points as we did for the sine and cosine functions. Recall that
tan
x
=
sin
x
cos
x
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on
−
π
2
to
π
2
, we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.
We can determine whether tangent is an odd or even function by using the definition of tangent.
tan
(
−
x
)
=
sin
(
−
x
)
Step-by-step explanation:
1st number can be 0-9 = 10 numbers
2nd number can be 0-9 = 10 numbers
3rd number can be 0-9 = 10 numbers
10 * 10 * 10 = 1000 combinations