Question

Question 6 (1 point)Below are four scenarios where counting is involved. Select those scenarios in whichPERMUTATIONS are involved. There may be more than one permutation.How many possible ways can a group of 10 runners finish first, second andthird?How many ways can 2 females and 1male be selected for a conference from alarger group of 5 females and males?How many 3 letter arrangements of the word OLDWAYS are there?How many 5-card hands from a standard deck of cards would result in allspades?Previous PageNext PagePage 6 of 12

Answer 1

Step 1: Definition

Arranging people, digits, numbers, alphabets, letters, and colors are examples of permutations. Selection of menu, food, clothes, subjects, the team are examples of combinations.

Step 2:

How many possible ways can a group of 10 runners finish first, second and third?

PERMUTATION because it involved arrangement

Step 3:

How many ways can 2 females and 1 male be selected for a conference from a larger group of 5 females and males?

NOT PERMUTATION because it involved selection, hence it is a combination.

Step 4:

How many 3 letter arrangements of the word OLDWAYS are there?

PERMUTATION because it involved arrangement

Step 5:

How many 5-card hands from a standard deck of cards would result in all spades?

NOT PERMUTATION because it involved selection, hence it is a combination.