A three-digit numeral is formed by selecting digits from {0, 3,
7, 9} without repetition.
Find...
A three-digit numeral is formed by selecting digits from {0, 3,
7, 9} without repetition.
Find the probability that the number formed is:
More than 300
Less than 750
Contains only odd digits
An even number.
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases...
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases
for R2, and
let A =
3
2
0
4
be the matrix for T: R2 ? R2 relative to B.
(a) Find the transition matrix P from B' to B. P =
(b) Use the matrices P and A to find [v]B and [T(v)]B, where
[v]B' = [1 ?5]T. [v]B = [T(v)]B =
(c) Find P?1 and A' (the matrix for T relative...
10)(12pts)LetP(x)=x5 +ax4 +bx3 +cx2
+dx+e.P(4)=P(5)=P(6)=P(7)=P(8)=0.Whatis the value of a - b + c - d
+...
10)(12pts)LetP(x)=x5 +ax4 +bx3 +cx2
+dx+e.P(4)=P(5)=P(6)=P(7)=P(8)=0.Whatis the value of a - b + c - d
+ e? Numerically the answer is somewhat large, but it can be
represented easily as a sum of terms, where the terms are a product
of 1 or more small integers. You may leave your answer in this
form, instead of calculating it out.
1) In a college, each student ID card is linked with a unique
5-digit pin from...
1) In a college, each student ID card is linked with a unique
5-digit pin from the set {0,1,2,3,4,5,6,7,8,9}. A) Find the number
of ID cards possible. B) Find the number of ID cards possible if
the 5-digit number is an odd number? C) Recalculate A&B if the
digits are not allowed to be repeated.
2) A license plate has 3 letters followed by 4 digits. How many
different license plate numbers can be formed if the letters cannot
be...
Show that provided, P(B∩C)>0, [3+3=6]
•P(A|B) = 0 will imply that P(A|B∩C) = 0.
•P(A|B) =...
Show that provided, P(B∩C)>0, [3+3=6]
•P(A|B) = 0 will imply that P(A|B∩C) = 0.
•P(A|B) = 1 will imply thatP(A|B∩C) = 1.
(a) How many numbers can be formed by arranging the digits 1, 2,
2, 4, 6,...
(a) How many numbers can be formed by arranging the digits 1, 2,
2, 4, 6, 6, 6?
(b) How many numbers greater than 3,000,000 can be formed by
arranging the digits 1, 2, 2, 4, 6, 6, 6?