Question

There are 25 students. Four of these students are selected to attend four different conferences. The first student selected will go to

a conference in Makati city, the second will go to Paranaque city, the third to Quezon city and the fourth to Caloocan city. How

many such selections are possible?

256

12,650

303,600

390,625

Answer 1

the number of possible selection is 12650

Option b) 12650 is the correct answer.

Explanation:

Given the data in the question;

total number of students n = 25

number of student selected r = 4

`^nC_r` = ²⁵C₄

= 25! / ( 4!( 25 - 4 )! )

= 25! / (4!(21)!)

= 12650

Therefore, the number of possible selection is 12650

Option b) 12650 is the correct answer.