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COPY READING & HEADLINE WRITING > COMBINATORIX > Flashcards

COMBINATORIX Flashcards

1
Q

A special plate number is made up of three letters of the English alphabet followed by two-digit numbers. How many plate numbers are possible if:

a. the letters and digits can be repeated in the same plate number?

b. the letters and digits cannot be repeated in the same plate number?

A

a. 1,757,600 possibilities
b. 1,404,000 possibilities

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2
Q

Selecting an outfit from 8 choices of shirt and 4 choices of pants.

A

32 ways

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3
Q

Answering a 5-item True or False test.

A

32 ways

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4
Q

Picking up 3 kinds of fruits from a choice of 9 kinds.

A

729 fruit combos

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5
Q

Choosing a PIN of 3 digits if repetition is allowed? If repetition is not allowed?

A

a. 1000 pins
b. 720 pins

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6
Q

Picking a name with 3 letters of the English Alphabet composed of 2 vowels and a consonant.

A

525 names

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7
Q

A freshman has 4 examinations to take and there are 10 examination periods available. How many possible arrangements are there of his examination schedule?

A

5,040 arrangements

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8
Q

A shelf will hold only even number books. Given that 11 different books are available, find the number of different arrangements that can be made to fill the shelf.

A

55,440 arrangements

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9
Q

For the Dempo concert, 6 items are proposed. Only 4 items will put up at the concert. How many permutations of 4 concert items are there?

A

360 permutations

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10
Q

In how many ways can 9 different books be arranged on a shelf? If
another two books are added, what is the total number of permutations?

A

a. 362,880 arrangements
a. 362,882 arrangements

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11
Q

Four students go for dinner and order a hamburger, a fish burger, a cheeseburger and a beef burger (one burger for each). When the waitress returns with the food, she forgets which student orders which item and simply places a burger before each students. In how many ways can the waitress do this?

A

24 ways

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12
Q

How many signals can be made by arranging 9 flags in a line if 4 are red, 3 are blue and 2 are white?

A

1,260 ways

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13
Q

Five red marbles, 2 white marbles and 3 blue marbles are arranged in a row. If the marbles of the same color are not distinguishable from each other, how many different arrangements are possible?

A

2,520 arrangements

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14
Q

Find the number of permutations from the word MINIMUM

A

420 ways

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15
Q

Find the number of permutations from the handle THEATHELIZABETHENA

A

…

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16
Q

In how many ways can 6 different trees be planted in a circle?

A

120 ways

17
Q

On the buffet there are 7 different appetizers from which to choose. The appetizers are arranged on a revolving tray. How many ways can the appetizers be organized?

A

720 ways

18
Q

How many ways can 8 beads be placed on a bracelet with no clasp?

A

5,040 ways

19
Q

How many different 11-member football teams can be formed from a possible 20 players if any player can play any position?

A

167,960 ways

20
Q

In how many ways can you get 2 aces and 4 queens from a deck of 52 cards?

A

6 ways

21
Q

In how many ways can 10 objects be split into two groups containing 4 and 6 objects, respectively?

A

210 ways

22
Q

In how many ways can a committee of 5 people be chosen from 9 people?

A

126 ways

23
Q

How many different committees consisting of 8 people can be formed from 12 men and 9 women if equal numbers of men and women are to be chosen?

A

62,370 ways

24
Q

From a list of 20 suggested books, Amy must choose 4 to make a report. How many possible combinations are there?

A

4,845 ways

25
Q

In how many ways can 2 men, 4 women, 3 boys and 3 girls
be selected from 6 men, 8 women, 4 boys and 5 girls if:

a) no restrictions are imposed

b) a particular man and woman must be selected?

A

a. 42,000 ways
b. 1,920 ways

26
Q

A mall has 5 gates, how many ways can you enter and exit the mall with a different gate.

A

20 ways

27
Q

How many 2 digit numbers can be formed from the 4 integers: 1, 2, 3, 4

2.1 With repetition
2.2 Without repetition

A

2.1) 16 digits
2.2) 12 digits

28
Q

If two dice are rolled, how many outcomes are there?

3.1 How many of these have a dot greater than 8?
3.2 How many of these have a dot less than 10?

A

3.0)
3.1) 10
3.2) 30

29
Q

A science club need to elect a President, Vice President, and Treasurer. There are 30 members and each of them are eligible for any of these 3 positions. How many ways can any 3 members be elected for these positions?

A

24,360

30
Q

The new licensed plate consists of 3 letters followed by 3 digits. How many different licensed plates can be made if:

a. The first letter is a vowel
b. The first and last digit is an odd number

A

a. 3,380,000
b. 4,394,000

COPY READING & HEADLINE WRITING (2 decks)

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