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Given a set of five distinct science books, three distinct math

books and two distinct history books.

a. In how many ways can these books be arranged on a shelf?


¬𝑝 ∧ (𝑝 ∨ 𝑞)] ⇒ 𝑞 


1 + 1 =


Determine the truth value of each of the following statements:/5mrks

(i) Paris is in France or 4+4=8

(ii) 4+4=9 and5+8=11

(iii) m+2is the unit of area or Kg is the unit of mass


(iv) If Kigali is capital city of Rwanda and Kampala is not capital city of Uganda, then


Bujumbura is the capital city of Burundi.


Mary’s Online Shop sells clothes for plus size women. It has 4 kinds of formal blazers, 7 kinds of inner blouses, and 9 kinds of designer jeans. Find the number of ways a person can buy an item
BSIT section 1T is composed of 11 male students and 19 female students, how many choices do you have if there will be one (female) muse and one (male) escort

Why is f not a function from R to R if

a) f (x) = 1/x?

b) f (x) =√x?

c) f (x) = ±√(x^2+1)?


Given a function f from {1, 2,...,n}to the set of integers,

determine whether f is one-to-one.


Check whether the compound proposition

(p ∨¬q) ∧(q ∨¬r) ∧(r ∨¬p) ∧(p ∨q ∨r) ∧(¬p ∨¬q ∨¬r)

is satisfiable or not?



find 200 sum k=100^k



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