At a birthday party, 5 boys and 3 girls are seated around a table. How many different arrangements are possible if
a
there are no restrictions?
To find the number of different arrangements possible with no restrictions, we can use the concept of permutations.
The number of permutations of a set of objects is given by the formula n! (read as n factorial), where n is the number of objects.
In this case, we have 5 boys and 3 girls. So, we have a total of 8 people to arrange around the table.
Therefore, the number of different arrangements is calculated as:
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320
Hence, there are 40,320 different arrangements possible if there are no restrictions.