Combinatorics: Selecting and Arranging Letters

Combinatorics: Selecting and Arranging Letters

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explores a combinatorics problem involving selecting and arranging letters from the word 'algebra'. It highlights the challenges posed by repeated letters and explains methods for both selecting without order and arranging with order. The tutorial emphasizes understanding the problem rather than relying solely on formulas.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between selecting and arranging letters in combinatorics?

Arranging involves order, selecting does not.

Selecting involves order, arranging does not.

Both involve order.

Neither involves order.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is dividing by two not a useful approach when dealing with repeated letters?

It results in a non-integer value.

It simplifies the problem too much.

It only works for even numbers.

It is not applicable to permutations.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different letters are available for selection when ignoring the 'A's in 'algebra'?

Seven

Six

Five

Four

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When selecting letters without caring about order, which method is used?

Permutation

Combination

Division

Factorial

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many ways can you select three letters from 'algebra' if you choose to use no 'A's?

20

15

10

5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total number of ways to select three letters from 'algebra' when order does not matter?

15

30

20

25

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the permutation formula used when order matters in arranging letters?

nCr

n^r

nPr

n!

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