Amarket buys mixed nuts at $15 per pound. they want to make a $20 profit.what would you pay for 1 pound of nuts?

We need to sell the nuts at 35 dollars to make $20 profit

Step-by-step explanation:

Profit = Selling price - cost

We know we want a 20 dollar profit

The cost of the nuts is 15 dollar

Substitute this in

20 = Selling price -15

Add 15 to each side

20+15 = Selling price -15+15

35 = Selling price

We need to sell the nuts at 35 dollars to make $20 profit

List of outcomes:

{1, 2, 3, 4}, {1, 2, 4, 3}, {1, 3, 2, 4}, {1, 3, 4, 2}, {1, 4, 2, 3}, {1, 4, 3, 2},

{2, 1, 3, 4}, {2, 1, 4, 3}, {2, 3, 1, 4}, {2, 3, 4, 1}, {2, 4, 1, 3}, {2, 4, 3, 1},

{3, 1, 2, 4}, {3, 1, 4, 2}, {3, 2, 1, 4}, {3, 2, 4, 1}, {3, 4, 1, 2}, {3, 4, 2, 1},

{4, 1, 2, 3}, {4, 1, 3, 2}, {4, 2, 1, 3}, {4, 2, 3, 1}, {4, 3, 1, 2}, {4, 3, 2, 1}

pmf:

  0: 9/24, 1: 8/24, 2: 6/24, 3: 0, 4: 1/24

Step-by-step explanation:

It works out nicely to let a math program list the permutations and count the numbers that are in the right place. (See below.) This can be done by hand, but is tedious and prone to error.

(Note that it is not possible for exactly 3 students to receive the correct book.)