ANSWER
The coefficient is 70.
EXPLANATION
The given binomial expression is

The specific term of a binomial expansion can be determined using the formula,

where

We substitute these values into the formula to get,

We simplify to get,

Hence the coefficient is 70.
Answer:
See explanation
Step-by-step explanation:
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.
Factor number 24 and 60:

Find the greatest common factor

Hence, the greatest number of bags William can make is 12.
Each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 6 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 4 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 3 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 2 bags, each of these bags will have
cans of fruit and
cans of vegetables.
Answer:
a. 37
Step-by-step explanation:
Do 150 divided by 4 so you know how many tables there can be.
150/4
37.5 You can only have 37.5 tables so the awnser is A.37
Answer:
It b
Step-by-step explanation:
Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
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