Discrete Math An organization has 9 male and 6 female member

Discrete Math
An organization has 9 male and 6 female members. They want to select a president, vice presiden, and secretary. How many ways if: President must be female

This is the answer:
6*14*13 = 1092 (6 is the no. of female members, but where did 14 & 13 come from?)

Solution

here we have to select 3 persons ( president, vice presiden, and secretary)

total number of persons 15( 9 male + 6 female)

if the presedent is felame then number of ways =6

so one person is over remaining persons are 14 ( 9 male + 5 female)

among 15 members one mest be vice president

so number of ways selecting vice president = 14

finally we have 13 memers among them we have to select one person ( secretary). number of ways = 13

hence the total number of ways = 6* 14* 13