A pizza place offers 3 different cheeses and 8 different toppings. In how many ways can a pizza be made
with 1 cheese and 3 toppings?

Answers

Answer 1

Answer: The cheese can be any one out of 3 = 3 choices. For each of those . . .
The first topping can be any one of 8. For each of those . . .
The second topping can be any one of the remaining 7 . For each of those . . .
The third topping can be any one of the remaining 6 .

Total number of ways to assemble a pizza = (3 x 8 x 7 x 6) = 1,008 ways.

BUT . . .

You could choose the SAME 3 toppings in (3 x 2) = 6 different ways, and
nobody could tell the difference once they were selected. All 6 different
ways would result in the same pizza.

So, out of the 1,008 total different ways there are of choosing ingredients,
there are only ( 1,008 / 6 ) = 168 different and distinct pizzas.

Answer 2

Answer: $1\ cheese\ is\ choose\ from\ 3:\ \ \ {3 \choose 1} =3\nand\ 3\ toppings\ are\ choose\ from\ 8:\ \ \ {8 \choose 3} = (8!)/(3!\cdot(8-3)!)= (5!\cdot6\cdot7\cdot8)/(2\cdot3\cdot5!)=56 \n\na\ pizza\ can\ be\ made\ on\ \ 3 \cdot 56=168\ \ ways$

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Evaluate: xy - x (x - y^0) if x = 2 and y = -1/2

Answers

Hi

2(-1/2) - 2(2+(-1/2)^0)
= -2/2 - 2(2+(-1/2)^0)
= -1 - 2(2+(-1/2)^0)
= -1 -2 (2+1)
= -1 -2(3)
= -1 -6
= -7

I hope that's help :)

If you have any further questions please let me know :)

$2(- (1)/(2) ) - 2(2+(- (1)/(2))^0)$

$- (2)/(2) - 2(2+(- (1)/(2) )^0)$

$-1 - 2(2+(- (1)/(2) )^0)$

$-1 -2 (2+1)$

$-1 -2*(3)$ -1 -2(3)

$-1 -6$

$-7$

A pair of sneakers is regularly at $ 52. It is on sale for 15% off of the regular price, what is the sale price of the sneakers?

Answers

The required sale price of the sneakers is $44.2.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is the sale price?

Sale price of product is defined as the price at which the product is present to the buyer, and also which is greater to the cost price of saller.

here,

A store is having a 15% off sale.

Let the price after getting the discount to be x,

The original cost of the sneakers is $52,

Now, Subtract the discount from the original price to get the sale price. So,

sale price = original price - 15% of 52

sale price = 52- 0.15× 52

sale price = 52- 7.8= $44.2

Thus, the required sale price of the sneakers is $44.2.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

If it is 15% off, then that means it is 85% of the regular price.

52 x .85 = $44.20

The answer is $44.20!

Alternatively, you can do:

52 x .15 = 7.8
52 - 7.8 = 44.2!

18 to 24 as a fraction in lowest terms