A person tosses a coin 14 times. In how many ways can he get 6 tails?

A person tosses a coin 14 times. In how many ways can he get 6 tails?
A person tosses a coin 25 times. In how many ways can he get 10 tails?
A person tosses a coin 19 times. In how many ways can he get 15 heads?
An unbiased coin is tossed 12 times. In how many ways can the coin land tails either exactly 8 times or exactly 2 times?
A coin is tossed 3 times. Let X be the number of Tails that you get in the 3 tosses, then X can take on how many values?
In how many different ways can 5 tosses of a coin yield 2 heads and 3 tails? I know I can just list all the possibility and it wouldn't be hard. But I want to know how to solve this problem by using combination or permutation because it will be more complicated if the number of tosses increase. Please help me to solve this problem with COMBINATION OR PERMUTATION.
How many ways can a person toss a coin 11 times so that the number of heads is between 6 and 9 inclusive?
A person rolls a standard six-sided die 12 times. In how many ways can he get 6 fours, 5 ones, and 1 two? PLEASE DO NOT ANSWER UNLESS YOU ARE CONFIDENT IT IS CORRECT.
How many ways can a person toss a coin 12 times so that the number of heads is between 8 and 11 inclusive?
How many ways can a person toss a coin 8 times so that the number of heads is between 5 and 7 inclusive?
A person rolls a standard six-sided die 9 times. In how many ways can he get 3 fives, 5 sixes, and 1 two?