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a_sh-v [17]
4 years ago
6

Permutation and Combination

Mathematics
1 answer:
zhenek [66]4 years ago
8 0

I assume, the order matters here.

k objects can be chosen out of n objects, when the order matters, in P(n,k)=\dfrac{n!}{(n-k)!} ways.

So, the answer is P(8,4)=\dfrac{8!}{4!}=5\cdot6\cdot7\cdot8=1,680 ways.

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Gennadij [26K]

Answer:

I hate math

Step-by-step explanation:

3 1
4 years ago
2/5 divided by 1/3 equals
aniked [119]

Answer:

6/5, or 1 1/5

Step-by-step explanation:

I use a method called KCF, which means Keep Change Flip. Here is your current expression: 2/5 / 1/3. First, keep the first fraction. Next, change the sign into a multiplication symbol. Now, you have 2/5 x 1/3. Finally, flip the last fraction into 3/1. Now, this is your expression: 2/5 x 3/1. Multiply numerator by numerator, denominator by denominator. Your final answer is 6/5, or 1 1/5 simplified.

5 0
3 years ago
Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using
Tamiku [17]

Answer:

Given functions,

f(x) = 3 - x^2

g(x) = \sqrt{x}+1

Since, by the compositions of functions,

1. (g◦f)(x) = g(f(x))

=g(3-x^2)

=\sqrt{3-x^2}+1

Since, (g◦f) is defined,

If 3 - x² ≥ 0

⇒ 3 ≥ x²

⇒ -√3 ≤ x ≤ √3

Thus, Domain = [-√3, √3]

2. (f◦g)(x) = f(g(x))

=f(\sqrt{x}+1)

=3-(\sqrt{x}+1)^2

Since, (g◦f) is defined,

If  x ≥ 0

Thus, Domain = [0, ∞)

3. (f◦f)(x) = f(f(x))

=f(3-x^2)

=3-(3-x^2)^2

=3-9-x^4+6x^2

=-6+6x^2-x^4

Since, (f◦f) is a polynomial,

We know that,

A polynomial is defined for all real value of x,

Thus, Domain = (-∞, ∞)

8 0
3 years ago
Is this relation a function? Justify your answer.
zysi [14]

Answer:

yes

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
I need helpppp:
Sedaia [141]

Answer:

The second table.

Step-by-step explanation:

In the first table, the speed goes from 45 down to 43; then down to 41; then up to 42; then up to 43.  It decreases and then increases.  This is not the correct table.

In the second table, the speed goes from 45 up to 47; then up to 49; then down to 48; then down to 47.  It increases and then decreases; this is the correct table.

To verify, we check the last two tables.  The third table stays at 45, then decreases to 43 and 41.  This is not correct.

The last table decreases from 45 to 43, then decreases to 41, then stays constant.  This is not correct.

The second table is the only correct one.

6 0
4 years ago
Read 2 more answers
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