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2 years ago

How can you tell whether a counting problem is a permutation or combination problem? Give examples to support your answer

Mathematics

2 answers:

lana66690 [7]2 years ago

6 0

Answer:

Permutation - requires to arrange order with quantities

Combination - order is not required

Step-by-step explanation:

If a question demands you to select as well as arrange the given quantities then it means that it is a problem of permutation.

While on the other hand, a problem of combination would only ask you to select the quantities and not their order.

So with practice, you get to know how exactly it works.

dolphi86 [110]2 years ago

4 0

Answer:

Step-by-step explanation:

Permutation is the ways in which a fixed group or members that can be arranged or ordered and combinations are used when a smaller group has to be chosen from a larger group.

Examples:

Permutation: How many unique combinations of the word MAHNOOR can be formed when the letters will be scrambled

2. In what order or arrangements five people can be seated in the front row?

The number of people are fixed, we have to find the order.

Combination: Choosing two cards from a deck of 52 cards. We are choosing a small group from a larger group of all cards.

2. Choosing 4 students from a class to take part in the competition.

The selection can be made in multiple ways ..

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If CP of an item is Rs 7000, If SP of item is Rs 9100 Find the profit percentage.

Mama L [17]

Step-by-step explanation:

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2 years ago

A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t

Sati [7]

Answer:

$\frac{2}{7}$

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = $\frac{1}{7}$

Remaining fuel after driving around the city = 1 - $\frac{1}{7}$

= $\frac{7 - 1}{7} = \frac{6}{7}$

According to question:

As from the rest of the gas in the car that is $\frac{6}{7}$ , the car can complete 3 trip to Ottawa which means,

By unitary method:

The car can complete 3 trip by using = $\frac{6}{7}$ tank of gas.

The car can complete 1 trip by using = $\frac{6}{7} \div 3$

= $\frac{6}{7} \times\frac{1}{3}$

= $\frac{6}{21}$

= $\frac{2}{7}$ tank of gas

Thus, $\frac{2}{7}$ tank of gas used for each complete trip to Ottawa.

5 0

3 years ago

5d-4=4-d solve the equation

horrorfan [7]

Answer: d = 0

Step-by-step explanation:

5d - 4 = 4 - d

+d +d

____________

6d - 4 = 4

-4 -4

__________

6d = 0

__ __

6 6

d = 0

3 0

2 years ago

Read 2 more answers

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Ro

Gre4nikov [31]

Answer:

a) z* = -1.97

b) z* = -2.33

c) z* = -1.65

d) z* = 2.04

e) z* = 2.33

f) z* = -1.25.

Step-by-step explanation:

Z-score:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. P(z < z*) = 0.0244

We have to look at the ztable, and find z which has a pvalue of 0.0244. So it is z* = -1.97

b. P(z < z*) = 0.0098

We have to look at the ztable, and find z which has a pvalue of 0.0098. So it is z* = -2.33

c. P(z < z*) = 0.0496

We have to look at the ztable, and find z which has a pvalue of 0.0496. So it is z* = -1.65

d. P(z > z*) = 0.0204

We have to look at the ztable, and find z which has a pvalue of 1 - 0.0204 = 0.9796. So z* = 2.04

e. P(z > z*) = 0.0098

We have to look at the ztable, and find z which has a pvalue of 1 - 0.0098 = 0.9902. So z* = 2.33

(f) P(z > z* or z < -z*) = 0.201

This is z which has a pvalue of 0.201/2 = 0.1055. So it is z* = -1.25.

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2 years ago

Read 2 more answers

There were 6 seventh graders on a middle school wrestling team. The

zimovet [89]

Answer:

-6 negative six

Step-by-step explanation:

3- 2 - 1 - 4 + 2 - 4= -6

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2 years ago