Search & Filtering
How many seven-digit numbers with out repetition of digit are there such that the digit are all non-zero and 5 and 6 do not appear consecutively in either order ?
Which of the following sentences is a proposition whose truth value is T?
Select one:
a. x + 2 = 11
b. x + y = y + x for every pair of real numbers x and y
c. Answer this question carefully.
d. Manila is in Cagayan.
Check if f : R 7→ R defined as f(x) = √
x is a function
Check if the binary relation R defined over Z such that (x, y) ∈ R if and only if x − y is
divisible by 4 is an equivalence relation.
(b) Partition A = {1,2,3,4,5,6,7} rvith the minsets generated by Br = {.2,4,6} and B2 = {1,4,5} and
also find out hou' manl different subsets of A can )rou generate lrom B. and B2?
Suppose that the domain A of P(x) is the finite set {1, 2, 3, 4}. Write out the following proposition using disjunctions, conjunctions, and negations.
¬((∀x ∈A)P(x))
Write the statement "The apartment is hot or the air-conditioned is not working, if and only if the temperature is 90°F" in symbolic form if p:the temperature is 90°F q:The air-conditioned is not working r:The apartment is hot
Determine the truth value of the following statement.
(∃n ∈Z)(n2= 3)
what is the numbers of ways to order the 26 letters of the alphabet so that no two of the vowels a,e,i,o,u occur consecutively ?
how many non-negative integers less than 104 that contain the digit 2 ?
