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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Bill Mason is considering two job offers. Job 1 pays a salary of $41,300 with $5,525 of nontaxable employee benefits. Job 2 pays

kupik [55]

Answer:

To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.

Step-by-step explanation:

Reminder: since the 25% is a tax rate which we need to subtract from the salary, 75% would be what is left over from the salary after taxes.

Job 1: Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(41,000 * 0.75) + 5,525 = 36,275$

So the monetary value of Job 1 would be $36,275

Job 2: Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(40,400*0.75) + 7,125 = 37,425$