4. Which of the following is NOT true? (a) Ag = Ap:7| ta| Ax (b) А =n Prvn x:n| (c) Ar:ñ| 1 Fn + A 1 x:ñ| A1 (d) ²A 1 -n 1 =n Pxv2n x:n|

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 2/18 – 12/32 + 3V50

A: The solution is given below in the next step:

Q: 75 - 3.5y - 4y = 4y + 6

A:

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: Find L{1}ℒ{1}.

A:

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 10 8/10 + 9 7/12=

A:

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: -7 5 1 9 0 -2 -1 2 -1 4

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: a = 4

A:

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: find  3/4 + 1/8

A:

Q: 9/12+3/24

A:

Q: ne binomial:

A:

Q: 6 2/5 ÷ 4

A: Given query is to solve the expression.

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

Q: 10. 15gr, 20s

A: Given

Q: -3n in

A:

Q: expansion of (1-2m)“

A:

Q: 57-24

A: Given that: 57-24

Q: 1 3 8.

A:

Q: 2/5 +7/12

A: Please see the answer below.

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: 3 3/4 + 2 7/28

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.