Question 3: You and a friend are using the C(7,4) Hamming code to send some 4-bit messages to each other. You encode the message 0011 and send IT hit soquence to vour friend, who recelves 1010101. How

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: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 2/18 – 12/32 + 3V50

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

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: 1/3+2/9

A: Given 1/3 + 2/9

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

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 items chosen 5 at a time

A:

Q: 1 7. 27 2.

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: factors of 20 that add up to 9

A:

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: ne binomial:

A:

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: -3 -10

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

Q: [ 8x³(4x² + 1)12dx

A:

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

A: Sum of numbers

Q: 10. 15gr, 20s

A: Given

Q: expansion of (1-2m)“

A:

Q: 6 3/20 - 6 3/8

A:

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…

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.

Q: 1/20+1/10+1/4

A:

Q: Expand 2(c+ 3).

A: Distributive property states that if x,y and z are three real numbers then x(y+z)=xy+xz.