All categories

3 years ago

What is the value of 6P6? A.1 B.36 C.720 D.46,656

1 answer:

3 0

$the\ permutationon:\ \ n\ P\ x= \frac{n!}{(n-x)!} \\ \\6\ P\ 6= \frac{6!}{(6-6)!} = \frac{6!}{0!}= \frac{2\cdot3\cdot4\cdot5\cdot6}{1}=720$

$Ans.\ C$

You might be interested in

Solve for x.<br> 3x + 2<br> 2x + 6<br> x = [?]

AVprozaik [17]

Answer:

Step-by-step explanation:

Im assuming you mean the first and second equation equal each other:

3x+2=2x+6

x=4

6 0

2 years ago

Kelsie purchased 12 yards of ribbon in order to gift wrap boxes of chocolate she sells at her candy shop. Each box requires 1.5

Lina20 [59]

12 x 3 = 36 then divide by 1.5 = 24 boxes

5 0

3 years ago

Read 2 more answers

Three numerical expressions that are equivalent to (0.0004) x (0.005)

zzz [600]

Answer:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

Step-by-step explanation:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

4 0

2 years ago

In a basketball game, Team A defeated Team B with a score of 97 to 63. Team A won by scoring a combination of two-point baskets,

-BARSIC- [3]

Answer:

14 free throw baskets , 25 two point baskets and 11 three point baskets

Step-by-step explanation:

Let n₁ represent the number of free-throw baskets, n₂ represent the number of two point baskets and n₃ represent the number of three point baskets.

Now, from the question, the number of two point baskets, n₂ is greater than the free throw baskets by 11. This is written as n₂ = n₁ + 11. Also, the number of three point baskets n₃ is three less than the number of free point baskets. This is written as n₃ = n₂ - 3. Since our total number of points equals 97, it follows that, sum of number of points multiplied by each point equals 97. So, ∑(number of points × each point) = 97. Thus,

n₁ + 2n₂ + 3n₃ = 97. Substituting n₂ and n₃ from above, we have n₁ +2(n₁ + 11) + 3(n₁ - 3) = 97.

Expanding the brackets, we have, n₁ + 2n₁ + 22 + 3n₁ - 9 = 97

collecting like terms, we have 6n₁ + 13 = 97

6n₁ = 97 - 13

6n₁ = 84

dividing through by n₁ we have, n₁ = 84/6 =14

so n₁ our free throw baskets equals 14. Substituting this into n₂ our number of two point baskets equals n₂ = n₁ + 11 = 14 + 11 = 25. Our number of three point baskets n₃ = n₁ - 3. So, n₃ = 14 -3 = 11.

7 0

2 years ago

Read 2 more answers

list as many combinations of three dimensions you can come up with that would give you a volume if 1536 cubic feet.

Monica [59]

Answer:

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

4.) Length = 8ft, width = 32ft, height = 6ft

5.) Length = 6ft, width = 8ft, height = 32ft

6.) Length = 16ft, width = 4ft, height = 24ft

7) Length = 12ft, width = 8ft, height = 16ft

8.) Length = 2ft, width = 64ft, height = 12ft

9.) Length = 48ft, width = 16ft, height = 2ft

Step-by-step explanation:

To obtain a volume of 1536 cubic feet:

This means Length × width × Height equals 1536ft^3

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

6 0

3 years ago