Finite MAth
posted by Bryan .
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
(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
Respond to this Question
Similar Questions

Math
A scout troop will prepare trail mix for their next hike. They have decided to mix one type of nut, one type of dried fruit, and one type of granola. The local store carries 8 types of nuts, 6 types of dried fruit, and 5 types of granola. … 
math
anna bought 3 types of fruit for a fruit salad. She paid three times as much for buleberries as for pears and $2.50 less for strawberries than for blueberries. A) define a variable and write algebraic expressions to represent the amount … 
Finite Math
At Sally's Salads, there is an all you can eat salad bar. You may choose one of 3 different lettuces, any number of 11 vegetable toppings, and at most one of 6 dressings. Suppose a salad is made at random following those rules. If … 
Maths
10 Paula asked 30 students what they ate for lunch. All the students had at least a sandwich, salad or fruit. 5 students had a sandwich, salad and fruit. 7 students had a sandwich and fruit. 9 students had a sandwich and salad. 7 students … 
math NEED HELP ASAP
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 75% pure fruit juice. … 
math NEED HELP ASAP
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. … 
Maths
Paula asked 30 students what they ate for lunch. All the students had at least a sandwich, salad or fruit. ********************************* QUESTION A Draw a Venn Diagram. * * * * * * * * * * * * * * * * * THIS IS THE INFORMATION … 
Probability
CHECK ANSWERS PLEASE ********************************** Paula asked 30 students what they ate for lunch. All the students had at least a sandwich, salad or fruit. ********************************* QUESTION A Draw a Venn Diagram. * … 
Check Answers PLEASE
Paula asked 30 students what they ate for lunch. All the students had at least a sandwich, salad or fruit. ********************************* QUESTION A Draw a Venn Diagram. * * * * * * * * * * * * * * * * * THIS IS THE INFORMATION … 
math
How many different pizza combinations can I make if I have 2 different types of crust, 2 cheese choices, 7 different meats, and 13 different vegetables