a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

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In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p 2 3p - 4 less - 2

Elena L [17]

The equation in the reduced form of the equation is $\rm 4p^ 2 + 6p - 8$ .

Given that,

Equation; $\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4$

We have to reduce the equation.

According to the question,

To reduce the equation means we need to subtract one equation from the other.

To determine the reduced form of the equation following all the steps given below.

Equation; $\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4$

Subtraction equation 1 from equation 2,

$\rm = \rm 2p^ 2 + 3p - 4\ -(-2p ^2 - 3p + 4)\\\\= 2p^ 2 + 3p - 4\ -(-2p ^2 -3p +4)\\\\ = 2p^ 2 + 3p - 4+2p^ 2 + 3p - 4 \\\\ = 4p^ 2 + 6p - 8$

Hence, The equation in the reduced form of the equation is $\rm 4p^ 2 + 6p - 8$ .

For more details refer to the link given below.

brainly.com/question/1807316

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3 years ago

Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if

ale4655 [162]

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

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3 years ago

Read 2 more answers

Which list is in order from least to greatest? A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 B) 2.5 *10^3, 7 * 10^3, 9.25 *

vladimir1956 [14]

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.