Question 10 . Let A.S.C be sets with: JAl = 7 |B| = 7 | = 18 Determine the lower and upper bound for the size of the set AnBnC Enter the lower bound in "Blank 1" and upper bound in "Blank 2". Blank # 1 Blank # 2

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question 10 -.
Let A.9.C be sets with:
JAl = 7
|B| = 7
|C = 18
Determine the lower and upper baund for the size of the set
AnBnC
Enter the lower bound in "Blank 1" and upper bound in "Blank 2".
Blank #1
Blank # 2
Questian 11 .
Let S be a set of 6543 distinct elements. Let
S1,*, Sk
bek distinct elements of 5, where k=6537. How many permIutations of the set S
have the elements
S1,**, Sk
appearing side by side, in that order?
i.e. ... S1 S2.. Sk-18k
Question 12,
Let P be the set af prime numbers (1 is not considered primo). Let R be the relation
on Pdetined by:
R= {< a,6>|a+b is odd}
Let a=13. List a possible valuc for b. If no valid pair <a.b> cxists, write "none".
Question 13 -
Consider the following relations on
Z
Sclect all that are not reflexive.
{< a,b> |a<b}
{< a,b> |a<b}
{< a,b> |a = b}
{< a,b> |a,b are both positive, or both negative }
{< a,b> |a-bis a multiple of 4}
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Transcribed Image Text:Question 10 -. Let A.9.C be sets with: JAl = 7 |B| = 7 |C = 18 Determine the lower and upper baund for the size of the set AnBnC Enter the lower bound in "Blank 1" and upper bound in "Blank 2". Blank #1 Blank # 2 Questian 11 . Let S be a set of 6543 distinct elements. Let S1,*, Sk bek distinct elements of 5, where k=6537. How many permIutations of the set S have the elements S1,**, Sk appearing side by side, in that order? i.e. ... S1 S2.. Sk-18k Question 12, Let P be the set af prime numbers (1 is not considered primo). Let R be the relation on Pdetined by: R= {< a,6>|a+b is odd} Let a=13. List a possible valuc for b. If no valid pair <a.b> cxists, write "none". Question 13 - Consider the following relations on Z Sclect all that are not reflexive. {< a,b> |a<b} {< a,b> |a<b} {< a,b> |a = b} {< a,b> |a,b are both positive, or both negative } {< a,b> |a-bis a multiple of 4} CS Scanned with CamScanner
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