the numbers on the first and second add to 7', B = 'the numbers on the second and third add to 7', and C = 'the numbers on the third and first add to 7'. Are A, B, C pairwise EXERCISE 0.3. Roll three dice. Let A independent? Are they mutually independent?

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

A:

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: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

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: a = 4

A:

Q: 7/2 + 3 4/6

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: 22n+1 3n+1 2.

A:

Q: expand (a-b)7

A: The solution is given in the next step.

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: 16 2/5- 8 4/9

A:

Q: 4/11+3/8

A: Topic:- simplification

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 20/5+5+2*8

A: Consider the given expression

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

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

A: Sum of numbers

Q: 10. 15gr, 20s

A: Given

Q: 57-24

A: Given that: 57-24

Q: 6 3/20 - 6 3/8

A:

Q: 6（c)(d)

A: We shall use the properties of homomorphism to solve this question

Q: Find A.

A: Given

Q: 4 1/2 +6 1/5=

A: We have

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: 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.