A farmer wants to take 4 of his animals to a city. He has to select the animals  from 5 cows and 5 goats.  (a) How many possible selections can he make?  (b) In how many of these selections will there be more cows than goats?

(a) 210

(b) 55

Step-by-step explanation:

(a) I'm assuming the animals are considered to be unique rather than identical.  The order of the animals isn't important, so the number of ways he can choose 4 animals from 10 is:

₁₀C₄ = 210

(b) If there are more cows than goats, then there are either 3 cows and 1 goat:

₅C₃ ₅C₁ = 50

Or there are 4 cows:

₅C₄ = 5

The total number of combinations is 55.

d

step-by-step explanation:

the 2000 florida legislature amended section 322.05, florida statutes, changing the requirements to obtain a class e license for a driver under the age of 18 holding a learner's license. the following requirements must be met in order to obtain a regular class e license if a learner's license is issued on or after october 1, 2000:

must hold a learner's license for at least 12 months or until the 18th birthday.

must have no convictions 12 months from the issue date of the learner's license.

may have one traffic conviction within 12 months from the issue date of the learner's license if adjudication is withheld.

a parent, legal guardian, or responsible adult over 21 years old must certify that the driver has 50 hours driving experience, including 10 hours of night time driving.