Permutation

17160

A 13-member club is choosing its President, Vice president, Secretary and Treasurer. Find the number of ways in which they can be chosen.

504

A number lock has 9 different digits. A combination of three digits can be set to open the lock. No digit can be repeated. How many combinations are possible?

42

How many 2-digit permutations can be formed using the 7 digits (0,1, 2, 3, 4, 5, 6)exactly once?

120

How many different 3-letter permutations can be formed using the letters in the word 'SCARED' exactly once?

720

How many permutations are there of the letters in the word CIRCUS?

60

How many three-letter permutations of 5 vowels can be formed?

1680

In how many ways can you assign the letters A, B, C, D, P, Q, R, and S to the corners of a square?

24

John plans to study, watch TV, sleep and play football on a Sunday. In how many ways can he choose and arrange the activities?

60

Marissa has 5 different toys and wants to display 3 of them. In how many ways can they be selected and arranged?

6

The combination to open your lock has three pairs of numbers 16, 39, and 29. You do not remember the order of the numbers. How many different arrangements of the numbers need to be tried out to open the lock?

210

Using counting principle, find the number of three-letter permutations of the seven letters S, P, R, I, T, O and E.