The student population of the Leadership Club is shown in the table.

Student Population:
GRADE LEVEL | BOYS | GIRLS
11th Grade | 8 | 6
12th Grade | 9 | 7

The teachers will select two 11th grade students and three 12th grade students to attend a conference. How many different groupings are possible?
F.) 43,680
G.) 50,960
H.) 101,920
J.) 611,520

Question

The student population of the Leadership Club is shown in the table.

Student Population:
GRADE LEVEL | BOYS | GIRLS
11th Grade | 8 | 6
12th Grade | 9 | 7

The teachers will select two 11th grade students and three 12th grade students to attend a conference. How many different groupings are possible?
F.) 43,680
G.) 50,960
H.) 101,920
J.) 611,520

vivek3461 · Answer

The problem has two parts. First try to calculate how two 11th grade students can be chosen out of given 8 boys and 6 girls. Then do the same for 12th grade students. Then you have to combine the both. 

I hope you are comfortable with permutations and combinations.