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How many ways can you arrange the letters mnopq?
The number of different ways you can arrange the letters MNOPQ is the number of permutations of 5 things taken 5 at a time. This is 5 factorial, or 120.
How many ways can the letters about be arranged?
The letters A B O U T can be arranged 120 different ways. This is the number of permutations of 5 things taken 5 at a time, or 5 factorial.
How many ways can the word Bronx be arranged?
The number of ways that the letters B-R-O-N-X can be arranged is the same as the number of permutations of 5 things taken 5 at a time, which is 5 factorial, or 120.
In a class of 5 students how many ways could they be arranged to stand in a line?
5! (5 factorial), which is 1 x 2 x 3 x 4 x 5.
How many different ways can 7 people stand in line for movie tickets?
There are 7 people who could stand first, with 6 people who could stand second for each of those first people, with 5 people who could stand third for each of those first two people, and so on, until with 1 person left who could stand seventh for each of the first six people. This gives 7 × 6 × 5 × ... × 1 = 5040 ways.
