Assume that you have 5 different types of
vegetables and 10 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 2 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?

1). 450

2). 55

3). 1485

Step-by-step explanation:

Out of 5 different vegetables number of ways to select 3 different vegetables =

=

= 10

Out of 10 different fruits number of ways to select 2 fruits

=

=

=

=

= 45

(1). Different ways to prepare a vegetable AND a fruit salad

= 10×45

= 450

(2). Different ways to prepare a veg salad OR a fruit salad

= 10 + 45

= 55

(3). Number of ways to choose two different kinds of salad

=

=

=

= 1485

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step-by-step explanation: