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lakkis [162]
3 years ago
8

Evaluate the expression 7!/4!

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0
The answer would be 21
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Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he
harkovskaia [24]

Answer:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

Step-by-step explanation:

Total flavors Sammy initially had = x

Number of flavors Sammy throw away = y

After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as ^{(x-y)}C_{10}

The formula for combinations is:

^{n}C_{r}=\frac{n!}{r!(n-r)!}

Using the values in this formula, we get:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

7 0
3 years ago
Please help!! I need all I can get!!
LuckyWell [14K]

Answer:

x = 13

Step-by-step explanation:

6x + 14 + 4x - 8 + 2x + 18 = 180  {Angle sum property of tiangle}

6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}

                         12x + 24 = 180 {Subtract 18 from both sides}

                                  12x = 180 - 24

                                  12x = 156       {Divide both sides by 12}

                                     x = 156/12

x = 13

3 0
3 years ago
What is the best description of the relation in Item 2?
Over [174]
Whats item 2? there’s no context
7 0
3 years ago
I tried and now i need help
Svetradugi [14.3K]
I'm guessing the answer is B? I tried to isolate r and I got that result. Sorry if it's wrong!
3 0
3 years ago
In a race, there are 15 runners. trophies for the race are awarded to the runners finishing in first through fourth place. in ho
kiruha [24]

Answer:

32,760

Step-by-step explanation:

Took the test

7 0
3 years ago
Read 2 more answers
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