Question Type 1: Using permutations formula Bootcamps

Find the number of ways to select and arrange 3 students from a group of 10.

In how many ways can 5 distinct books be arranged on a shelf?

How many 4-letter codes can be formed from the 26-letter English alphabet if no letter is repeated?

From a 12-member club, how many ways can you choose and order a president, vice president, and secretary?

How many 7-digit phone numbers can be formed using digits 0–9 if no digit repeats?

A 6-digit numeric password is formed using digits 0–9 with no repeated digits. How many such passwords are possible?

In how many ways can a teacher assign 4 distinct prizes to 8 students, giving one prize to each of 4 selected students?

How many license plates can be made consisting of 3 letters (A–Z) followed by 3 digits (0–9) if no character repeats?

In how many ways can 7 people be seated around a circular table?

How many distinct arrangements are there of the letters in the word STATISTICS?

How many 4-digit PINs can be generated using digits 0–9 if at least one digit repeats?

Six friends sit in a row. In how many of these arrangements are two particular friends, Alice and Bob, not seated next to each other?