Answer:
Step-by-step explanation:
Probability is the possibility for an event to occur or not to occur.
The formula for a combination is:
n choose r = n! / (r! x (n-r)!)
Given
n=14
r= 11 to 13
Hence, we shall add up the cases for 11 through 13.
nCr
14C11 + 14C12 + 14C13
14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!
= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!
= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)
= 2184/6+182/2+14/1
= 364+91+14
= 469 ways
