How many 4-digit PINs can be generated using digits 0–9 if at least one digit repeats?
[4]How many 4-letter codes can be formed from the 26-letter English alphabet if no letter is repeated?
[2]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?
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?
[4]In how many ways can 5 distinct books be arranged on a shelf?
[2]In how many ways can people be seated around a circular table?
[2]A 6-digit numeric password is formed using digits 0–9 with no repeated digits. How many such passwords are possible?
[2]How many 7-digit phone numbers can be formed using digits 0–9 if no digit repeats?
[2]Find the number of ways to select and arrange 3 students from a group of 10.
[3]In how many ways can a teacher assign 4 distinct prizes to 8 students, giving one prize to each of 4 selected students?
[2]Find the number of distinct arrangements of the letters in the word STATISTICS.
[3]How many license plates can be made consisting of 3 letters (A–Z) followed by 3 digits (0–9) if no character repeats?
[3]From a 12-member club, how many ways can you choose and order a president, vice president, and secretary?
[3]