(20!)/(14!) (6!) =
(20 x 19 x 18 x 17 x 16 x 15)/(6 x 5 x 4 x 3 x 2) = 38,760
120 5 x 4 x 3 x 2 x1 = Toppings 20 x 6 x 1 = Toppings 120 x 1 = Toppings 120 = Topping Combinations
There are 33C6 = 33*32*31*30*29*28/(6*5*4*3*2*1) = 1,107,568 combinations.
There are 1,120,529,256 combinations.
There are: 9C6 = 84 combinations
The number of 4 different book combinations you can choose from 6 books is;6C4 =6!/[4!(6-4)!] =15 combinations of 4 different books.
There are 6C3 = 20 such combinations.
There are 38760 combinations.
20
If their sequence matters . . . 120 If it doesn't . . . 20
7
The answer is 20C6 which is 20!/[6!(20--6)!] = 20*19*18*17*16*15/(6*5*4*3*2*1) = 38760 n! represents a*2*3*4*...*n
There are 1,947,792 combinations of 6 numbers out of 36 numbers.
there are 13,983,816 combinations.
7C3 = 7*6*5/(3*2*1) = 35 combinations.7C3 = 7*6*5/(3*2*1) = 35 combinations.7C3 = 7*6*5/(3*2*1) = 35 combinations.7C3 = 7*6*5/(3*2*1) = 35 combinations.
Number of combinations = 45C6 = 45!/6!(45-6)! = 8,145,060
If you are able to repeat numbers you would take 6 * 6 * 6 = 216 combinations. If you are not able to repeat numbers you would take 6 * 5 * 4 = 120 combinations.
There are 8,592,039,666 combinations of 6 numbers out of 138 numbers, like the numbers from 1 to 138.