1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erik [133]
4 years ago
13

Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

hoose?
Mathematics
1 answer:
AleksAgata [21]4 years ago
7 0
Combination = doesn't matter what order
Permutation = order matters

There are <u>two</u> methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)


You might be interested in
Use the grouping method to factor x3+x2+5x+5
podryga [215]
Tell me if the answer is true

4 0
3 years ago
Using suitable property solve<br> -3/4*2/3+3/4*-5/6
REY [17]

Answer: The answer is -1/8

Step-by-step explanation:

3/4*2/3+3/4*-5/6

3 is cancelled out with 3, 4 with 2, 3 with 6

1/2-5/8

take the L.C.M

4(1)-1(5)/8

4-5/8

=-1/8

3 0
3 years ago
Read 2 more answers
Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limi
Tems11 [23]

Answer:

Exponential Decay

Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.

Step-by-step explanation:

We can graph the function by graphing two points when x=0 and x=1.

x=0 has y=7^{-x} =7^{0} =1

x=1 has y=7^{-x} =7^{-1} =\frac{1}{7}

This function starts with higher output values and decreases over time. This is Exponential Decay. Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.

6 0
3 years ago
Read 2 more answers
Today, Joelle walked 20 minutes at a rate of 3 miles per hour, and she ran 15 minutes at a rate of 6 miles per hour. How many to
vivado [14]
Joelle walked for 20 minutes and her speed was 3 miles per hour.
So
In 1 hour or 60 minutes Joelle walked for a distance of = 3 miles
Then
In 20 minutes Joelle walked for = (3/60) * 20 miles
                                                   = 60/60 miles
                                                   = 1 mile
Again
Joelle ran for 15 minutes at a speed of 6 miles per hour
So
In 1 hour or 60 minutes Joelle walked for a distance of = 6 miles
so
In 15 minutes Joelle walked for a distance of = (6/60) * 15 miles
                                                                         = 15/10 miles
                                                                         = 3/2 miles
So 
The total distance covered by Joelle = 1 + (3/2) miles
                                                           = (5/2) miles
                                                          = 2 1/2 miles
So Joelle covered a total distance of 2 1/2 miles while walking and running.<span />
7 0
4 years ago
What method is used to solve problems involving scale drawings
Romashka [77]
Proportional Reasoning with Scale drawing
8 0
3 years ago
Read 2 more answers
Other questions:
  • #5: This graph shows the amount of gas, in ounces, in a lawn mower gas tank, modeled as a function of time. Determine whether ea
    15·2 answers
  • Please help me with number 9
    12·1 answer
  • Can someone help?
    15·1 answer
  • Solve for x.
    12·1 answer
  • If you roll a six-sided die, what is the probability of rolling a number greater than 2?​
    13·2 answers
  • What is the equivalent of pie divided by 3 radians in degrees
    6·2 answers
  • Nathaniel invests money in an account paying a simple interest of 6% per year. If he invests $90 and no money will be added or r
    13·1 answer
  • HELP WITH THIS PROBLEM RIGHT NOW. If you find x first and then y, will the answer be the same or different
    15·2 answers
  • The value of a painting rises from $120,000 to $192,000.
    11·2 answers
  • 8 was multiplied by a particular number. this product was then added to 12, then divided by 4. the resulting quotient was -25. g
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!