Question

Problem 2: I want to create a bouquet of flowers consisting of 7 flowers. I have 10 roses, 8 tulips, 3 daisies and 6 lilies to choose from. You should set up but do not need to compute the answer.

How many different bouquets can I make?

How many different bouquets can I make that consist of 3 roses and 4 lilies?

How many different bouquets can I make that consist of exactly 5 roses?

How many different bouquets can I make that consist of at least 5 roses?

How many different bouquets can I make that consist of only daisies?

Problem 3: Create a truth table for the following statement:   

Problem 4: Use De Morgan’s Laws to negate the following statements:

The sky is not blue and the grass is green.

The room is hot or you are not skinny.

Today is not Monday and my cat does not bite.

Problem 5: Create a truth table to determine if the following argument is valid of invalid:

Nancy likes cold weather.
Nancy lives in Miami or doesn’t like cold weather.
Nancy doesn’t live in Miami.
Nancy doesn’t like cold weather.

Answer 1

2.

(i)

Number of possible bouquets is given by

(ii)

Number of possible bouquets under given conditions is given by

(iii)

Number of possible bouquets under given condition is given by

(iv)

Number of possible bouquets under given condition is given by

(v)

There are 3 daisies whereas we need 7 flowers to create a bouquet. So, no bouquet consisting only daisies can be made.