Concept explainers
a.
To find: the combination that the person can choose 4 letters out of 12 different letters.
a.
Answer to Problem 31PPS
The person can choose 4 letters out of 12 different letters in 495 ways.
Explanation of Solution
Given information:
Total number of letters is 12.
The person chose 4 letters out of 12.
Formula used :
Calculation:
Number of ways that the person can choose 4 letters out of 12 different letters are-
Hence, there are 495 ways that the person can choose 4 letters out of 12 different letters.
b.
To find: the permutation that the person will arrange the three letters out of 4.
b.
Answer to Problem 31PPS
The person will arrange the three letters out of 4 in 24 arrangements.
Explanation of Solution
Given information:
Total number of letters is 4.
The person chose 3 letters out of 4.
Formula used :
Calculation:
Number of arrangements that the person will arrange the three letters out of 4 are-
Hence, there are 24 arrangements that the person will arrange the three letters out of 4.
c.
To find: the words that the arrangement of the 3 letters will make.
c.
Answer to Problem 31PPS
There are 9 words to make the arrangement of 3 letters.
Explanation of Solution
Given information:
Total number of letters is 4- A, T, R and E
We have to arrange three letters to make a word.
The words are-
ART, ATE, ARE, TAR, TEA, RAT, EAT, EAR, and ERA.
Hence, there are 9 words to make the arrangement of 3 letters.
Chapter 12 Solutions
Algebra 1
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