2. (a) A 6-digit number is to be formed using the digits 0 to 9 without repetition. If the number does not begin and end with 0, how many ways can it be formed if (i) it is divisible by 5. (ii) it is even number and greater than 600 000.

Q: [3 5. Let A = and B = [, Find C = (AB)"

A: In the given matrix, A and matrix B  Apply matrix multiplication technique .

Q: him Z Q3. Show that 20Z does not exist.

A: The given problem is to show the given complex limit does not exist.

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: 5. Determine the combination V x (Vf) given that X" + y"

A:

Q: Q 1(a) Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue…

A: The term probability is defined as the chance of occurrence of an event. The probability of an event…

Q: 5s L |(s – 2)

A:

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: Q:- Show thet B(n, n) B( n+on+=2 1-40

A: The solution is given as

Q: why - ( f ²^(lu² (+)² + 9²³\u{(t) ] ²³ ) d+){ 0 is inner Product?

A:

Q: :: Find L-1 5+7 \s+7/

A:

Q: 2(210) 2(510 210) 510 210 510 3 2 1 show that 1 4 2(510)210 10

A: To calculagte the 10th power of the given matrix in the required form

Q: d) Calculate (g o g)(3)

A: given,

Q: When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

A: To determine the missing terms in the following.When a1=32ak+1=-3ak+2         k=1, 2, 3, ...,…

Q: What is the order of in GL2(R)?

A:

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: Test whether the number of years in college has a significant impact on income at a.05. What are the…

A: Test is that whether number of years in college has a significant impact on income. Given that…

Q: Deiding Plyromials 2,2

A:

Q: Vandermonds Theorem: 2 F₁ (-n, b; c; 1) (c-b) (c)₂

A:

Q: If n(A) = 115, n(B) = 115, and n(A U B) = 140, what is n(An B)?

A:

Q: Find the value of n(An B) if n(A) = 10, n(B) = 13, and n(A U B) = 18. n(An B) = (Type a whole…

A:

Q: SupposethatAandBaretwoindependenteventswithP(A) = 0.3andP(B) = 0.3. Calculate(a) P(A and B) (b) P(A…

A:

Q: A company manufacture two different types of call phone F and E , each unit of call phone S costs (D…

A: From the given information, it is required to determine the number of products companies manufacture…

Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

A:

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

A:

Q: If C(12,4)+C(12,5) = C(n, 5), then n is equal to

A:

Q: (5) {1,2} C P({1, 2}).

A: Given  set is {1,2},  we knew that power set of a given set is set of all subsets of the given set.…

Q: 12 + 22,., +n? =n(n+ 1)(2n + 1), Vn eN

A: We will prove this as following.

Q: j! j=0 4.

A:

Q: can you please provide the answers for A(4)?

A: We need to find the area A(4)

Q: if ACB, P(A)=1/4, and P(B)=1/3, find P(A/B) and P(BA)

A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: 3(6)    this is incorrect

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.