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3 years ago

Type the formula for the number of combinations of n things taken r at a time. C(n, r) =

2 answers:

8 0

Answer: $C(n,r)=\frac{n!}{(n-r)!r!}$ where n represents the total number of objects, and r represents the number of objects being selected at a time.

Step-by-step explanation:

Combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter.

The formula for the number of combinations of n things taken r at a time is

$C(n,r)=\frac{n!}{(n-r)!r!}$

SOVA2 [1]3 years ago

4 0

Formula: 
 Note: , where nPr is the formula for permutations of n objects taken r at a time. Example: How many different committees of 4 students can be chosen from a group of 15? Answer: There are possible combinations of 4 students from a set of 15. There are 1365 different committees.

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Help me with 3, and 5 show your work !

ss7ja [257]

Okay so for number 3, you have to do the top work first.

3: POSITIVE 2!! first, you do the stuff inside the parentheses first because of P(parentheses)EMDAS. so, 14-2-10! -2-10 is -12 and then plus positive 14 is +2. but, the negative sign outside of the parentheses makes that +2 a -2.
but, you cant forget the -12 outside. you have to do -12-2 which gets you -14. then, this is easy! -14 divided by -7 is a positive 2!

5: POSITIVE 3!! again, do the stuff in the parentheses first!! -2-4 is -6. then, -6 x 2 is -12! so, divide -12 by -4 and you get a positive 3!

5 0

3 years ago

Find the solution to the following equations below

zvonat [6]

Answer: A. infinite solutions

B. no solution

C. one solution

Step-by-step explanation:

A. firstly we distribute: -2x-6=-2x-6

since they are the same it is infinite solutions.

B. firstly we distribute: 4x-4=1/2x-4

=2x=0

x=0

C. 3x-7=10+4x

x=17

8 0

3 years ago

An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the

9966 [12]

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. $\blacksquare$

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/13338592

3 0

2 years ago

A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b

Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue, let's write it using math symbols instead of words:

"The number of purple marbles is 4 less than 2 times the number of blue marbles."

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b (substitution)

2b = 45 - b ( add 4 to both sides)

3b = 45 (add b to both sides)

b = 15 (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

4 0

3 years ago

I need help ‼️ #10, #11 & #13.

Cerrena [4.2K]

Answer: 10 : t = 16 11 : x = -8 13 : x = 0

Step-by-step explanation: Im sure about 10 and 11 but not too sure about 13 and explanations are too hard for me to explain

7 0

3 years ago