Question

A county park system rates its 20 golf courses in increasing

order of difficulty as bronze, silver, or gold.There are only

two gold courses and twice as many bronze as silver courses.



(A) If a golfer decides to play a round at a silver or gold

course,how many selections are possible?



(B) If a golfer decides to play one round per week for

3 weeks,first on a bronze course,then silver,then gold,

how many combined selections are possible?

Answer 1

Explanation:

Given that a county park system rates its 20 golf courses in increasing

order of difficulty as bronze, silver, or gold.There are only two gold courses and twice as many bronze as silver courses.

Hence we get there are 2 gold, 12 bronze and 6 silver courses.

A) If a golfer decides to play a round at a silver or gold

= He can select any one of gold or silver

= (2+6)C1 = 8 ways

B) f a golfer decides to play one round per week for 3 weeks,first on a bronze course,then silver,then gold,

=Here no of ways = 2x12x6 = 144

(Because he can play any one of two gold, any one of 12 bronze...)

(Assuming every week all games are available)