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Q: 22] calculate the number of combination and permutation of, 5 distinct objects taken 2 at time?

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Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: Prove that if AC-00, +oo], then sup(A) = - inf(-A), where -A = {-a: aЄ A}.

A: Step 1:It is provided that, A⊆[−∞,+∞] and −A={−x:x∈A}Let's assume that, A isa a non-empty bounded…

Q: If z is an odd ratural number then 2^+1 is divisi ble by 3 hìnt: prove by Induction

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Q: is con hinuous neither in the in ter val [o,3], piecewise Determine if the funchion continu ous 3-t,…

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Q: XA and x & f(x)}. Show Cim ƒ.) 38. Let a, b, c, and d be any real numbers such that a < b and c < d.…

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: Use the symbols (=, >, and <, S, 2) to complete the number statement. The numbers 20, 21, 22 , are…

A: value=?

Q: October 23, 2020 The Venn diagram shows the relationships among different sets of numbers. Which of…

A: The given Venn diagram shows the relationship between different sets of numbers. Here, the universal…

Q: For how many natural numbers k is it the case that Icm(6°, 8°, k) = 1212 ?

A: We have to find For how many natural numbers k is it the case that.

Q: 1. How many elements are in the set {49, 51, 53,..., 177}? >

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Q: n=1 35. Suppose x is an accumulation point of {a,:n E J}. Show that there is a subsequence of {a,}=1…

A: We need to show that there is a subsequence which converges to x

Q: integers a and b, if a^2+b^2 is odd, then a or b is odd.    use indirect or direct proofs…

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Q: Consider the set indicated by the shaded area. Which set expressions identify this set? C…

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Q: Jne sun Triangle ) t22.20 t21,20 Simplified to a single term from Pascal's Triangle is

A: Here we have to simplify t22,20-t21,20 into a single term from Pascal's Triangle.