Aschool bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. how many ways can the students be seated if all the first-grade students occupy the first 3 rows?

a.) 25p20

b.) 5p5 × 20p15
c.) 15c15 × 10c5
d.) 15p15 × 10p5
e.) 15p15 × 10c5

Option D is correct  that is  15P15 x 10P5

Explanation:

There are total 15 students in first grade and total 5 rows of 5 seats

so, students of first grade can be arranged to occupy the seats  in 15P15

And there are total 5 students in second grade

Since, we have total 25 seats 15 seats are already occupied

So, number of seats now available is 10

Arrangement of seats for students of grade 2 is 10P5

Hence, The correct Option is D 15P15 x 10P5

250

step-by-step explanation: