Posted by Bryan on Thursday, January 26, 2012 at 9:04pm.
Assume that you have 6 different types of vegetables and 9 different types of fruit. A vegetable salad consists of a mixture of any 3 types of vegetables, and a fruit salad consists of a mixture of 3 kinds of fruit.
(1) In how many different ways can you prepare a vegetable salad and a fruit salad?
(2) In how many different ways can you prepare a vegetable salad or a fruit salad but not both?
(3) How many ways can you choose two different kinds of salad?

Finite MAth  Damon, Thursday, January 26, 2012 at 9:24pm
(1) first
Veg
combinations of 6 things taken 3 at a time
= 6!/[3!(63)! ] = 6*5*4/(3*2) = 20
Fruit
= 9!/[ 3! (93)! ] = 9*8*7*6*5*4/(6*5*4*3*2)
= 9*8*7/6
= 12*7 = 84
(2) 20+84 = 104
(3) 20 kinds of veg salad and 84 of fruit salad
for veg 1, 84 different fruits
for veg 2, 84 different fruits
etc
so 20* 84 = 1680
Answer This Question
Related Questions
 math  anna bought 3 types of fruit for a fruit salad. She paid three times as ...
 Finite Math  At Sally's Salads, there is an all you can eat salad bar. You may ...
 Math  A scout troop will prepare trail mix for their next hike. They have ...
 Maths  10 Paula asked 30 students what they ate for lunch. All the students had...
 Science  You eat many different vegetables and fruits. Describe four vegetables...
 math  every container of fruit salad contains 1/3 of an apple. how many whole ...
 Algebra please help out  Ed is using the recipe shown to make fruit salad. He ...
 math  In a bird sanctuary 41 different special of birds are being studied. ...
 math  In a fruit salad,12 strawberries are used for every 5 peaches. Flora uses...
 math  Ken uses 6 apples and 2 bananas to make a fruit salad. He puts twice as ...
More Related Questions