Ihave three questions:
1. 4 students from a class of 15 are going to be chosen to be on the dance committee. find the number of different 4-person committees that can be made.
2. leslie has 7 books. there is enough space on a shelf for 3 books. in how many ways can 3 of the 7 books be arranged on the shelf? (for this one i keep getting the answer 35, but its coming up wrong on my assignment.)
3. out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. find the number of different 10-person teams.

1. 3 can be made  2. i believe it is only one way to put three books on a shelf 3. 3 i believe, its been awhile since i studied this

Step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.