Afair die will be rolled 12 times. what is the probability that 4 , 5 , or 6 is rolled less than 6 but more than 3 times

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

the answer to this is 4340

hope this if needed hmu