Any 4 from 11 is calculated as 11!/(11 - 4)! x 4! The ! sign means factorial so the calculation simplifies to (11 x 10 x 9 x 8)/(4 x 3 x 2) = 11 x 10 x 3 = 330.
20C2 = 190
6,375,600
2,850
-7
When you have a choice of 7 digits, and cannot repeat any digit, then the first number can be chosen in 7 ways, the second can be chosen in 6 and the third can be chosen in 5. 7 x 6 x 5 = 210
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1
There are 3003 ways to choose 10 mugs from a collection of 15. This can be calculated using the combination formula C(n, k) which is equal to n! / (k!(n-k)!), where n is the total number of items and k is the number of items being chosen. In this case, it would be 15! / (10!(15-10)!), which simplifies to 3003.
10
There are 11880 ways.
20C2 = 190
*facepalms* "Can you please repeat the question?"
125
There are 9*8*7 = 504 ways.
It is: 15C7 = 6435 combinations
5005
-6