Permutation Quiz

A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?

• 60

• 120

• 720

• 125

In how many ways can a president, a treasurer and a secretary be chosen from among 7 candidates?

• 216

• 210

• 170

• 720

Four different Math books, six Physics book and two Chemistry books are to be placed on shelf. How many ways can these books be arranged if books of the same kind are to be placed beside each other?

• 207 360

• 200 590

• 34 560

• 56 340

Your school newspaper has an editor-in-chief and an assistant editor-in-chief. The staff of the newspaper has 12 students. In how many ways can students be chosen for these two positions?

• 132

• 130

• 720

• 1250

Four different Math books, six Physics and two Chemistry books are to be placed on a shelf? How many ways can these books be arranged if books of the same kind are to be placed beside each other?

• 200 000

• 307 360

• 207 360

• 250 000

A school librarian would like to buy subscriptions to 7 new magazines. Her budget however, will allow her to buy only 4 new subscriptions. How many different groups of 4 magazines can she choose from the 7 magazines?

• 540

• 640

• 740

• 840

An airline is hiring 5 flight attendants. If 8 people apply for the job, how many different groups of 5 attendants can the airline hire?

• 6720

• 7260

• 1270

• 10 729

SLC is planning its academic festival. All math classes will send 2 representatives to compete in the Mathlympics. How many different groups of students can be chosen from a class of 16 students?

• 200

• 240

• 540

• 720

How many distinguishable permutations are there in the letters of the word ISOSCELES?

• 52 720

• 34 560

• 30 240

• 23 780

How many distinguishable permutations are there in the letters of the word DISTANCE?

• 40 320

• 50 320

• 60 320

• 70 320