There are five boys and five girls at a party. In how many ways can they be seated in a row of six?
A) 720
B) 5
C) 151,200
D) 210
E) 120

Question

​There are five boys and five girls at a party. In how many ways can they be seated in a row of six? ​
A) ​720
B) ​5
C) ​151,200
D) ​210
E) ​120

Quizplus · Accepted Answer

There are 10 people in total, and we need to find the number of ways they can be arranged in a row of 6. This is a permutation problem with 10 objects taken 6 at a time.
Therefore, the number of ways they can be seated is:
10P6 = 10! / (10-6)! = 10! / 4! = 151,200.

​There Are Five Boys and Five Girls at a Party

There Are Five Boys and Five Girls at a Party