Question

A tie rack contains 5 striped ties, 8 solid ties, and 6 polka dot ties. How many possible outcomes are there when choosing a tie from the rack? 3 13 14 19

Answer 1

Answer:

Hence, the number of possible outcomes of choosing a tie from the rack is:

19

Step-by-step explanation:

A tie rack contains 5 striped ties, 8 solid ties, and 6 polka dot ties.

That means there are a total of:

5+8+6=19 ties.

Now it is asked to find the number of possible outcomes of choosing a tie from the rack.

i.e. we have to choose one tie out of the total 19 ties available. Hence we have to use the method of combination we know that the combination formula  is given as:

$n_C_r=\dfrac{n!}{r!\times (n-r)!}$

where n are the total outcomes and r are the number of choices we have to make.

Hence, we need to find:

$19_C_1=\dfrac{19!}{1!\times (19-1)!}\\\\\\19_C_1=\dfrac{19!}{18!}\\\\19_C_1=19$

Hence, the number of possible outcomes of choosing a tie from the rack is:

19

Answer 2

There are 3 possibilities because there are 3 types of different ties.