a) How many 4 letter words can be formed from the word YACHT if the letter A must be in each of the newly formed words. [NOTE: the words that are formed do not have to be meaningful words in the English language.] b) Numbers are to be generated using the digits 0,1,2,3,4,5,6 How many 4 digit numbers can be generated without repeating any digit? How many 4 digit numbers can be generated if a digit can appear more than once? c) Show that Στο2 (3) = 23
a) How many 4 letter words can be formed from the word YACHT if the letter A must be in each of the newly formed words. [NOTE: the words that are formed do not have to be meaningful words in the English language.] b) Numbers are to be generated using the digits 0,1,2,3,4,5,6 How many 4 digit numbers can be generated without repeating any digit? How many 4 digit numbers can be generated if a digit can appear more than once? c) Show that Στο2 (3) = 23
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![SECTION 5. COMBINATORICS
Q5.A
a) How many 4 letter words can be formed from the word YACHT if the letter A must be in each of
the newly formed words.
[NOTE: the words that are formed do not have to be meaningful words in the English
language.]
b) Numbers are to be generated using the digits 0,1,2,3,4,5,6.
How many 4 digit numbers can be generated without repeating any digit?
How many 4 digit numbers can be generated if a digit can appear more than once?
c) Show that
Σ=o2/
² (²):
= 23](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2257d12-245c-4911-b426-159fea67c643%2F2b4fa497-12e1-444f-b6b0-a694c5f44629%2Fqf7gacm_processed.png&w=3840&q=75)
Transcribed Image Text:SECTION 5. COMBINATORICS
Q5.A
a) How many 4 letter words can be formed from the word YACHT if the letter A must be in each of
the newly formed words.
[NOTE: the words that are formed do not have to be meaningful words in the English
language.]
b) Numbers are to be generated using the digits 0,1,2,3,4,5,6.
How many 4 digit numbers can be generated without repeating any digit?
How many 4 digit numbers can be generated if a digit can appear more than once?
c) Show that
Σ=o2/
² (²):
= 23
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