Find the sets A and B if A - B = {1, 4, 7, 11}, B – A ={2, 20}, and A NB = {3, 5 ,19}

Q: Find 1!, 2!, 4!, and 6!.

A: Factorial:

Q: Suppose an -6a, 1+ lan 2 - lan 3 and a4 34, as = -211, and as 1305. Find a1, a2, az. %3D %3D and

A:

Q: while playing a board game Cecilia had to move back six spaces nine times what integer represents…

A: to find the integer that represent Cecilia's movement on the board

Q: books are arranged in a display that has 4 rows. each row has one more book than. the row above it.…

A: Books are arranged in a display that has 4 rows. Each row has one more book than the row above it…

Q: Write out the addition and multiplication tables for Z4 and Z7

A: We have to write the addition and multiplication tables for Z4 and Z7 .

Q: Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.

A: It is required to obtain the number of binary strings of total length m+n, each string having…

Q: Find the sets A and B if A − B = {1, 5, 7, 8}, B − A = {2, 10}, and A ∩ B = {3, 6, 9}.

A:

Q: C(11,8)=

A: Since, C(n,p) = n!p!(n-p)! So, C(11,8) = 11!8!(11-8)!

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.