Q.2\ I need to choose a password for a computer account. The rule is that the password must consist of two lowercase letter (a to z) followed by one capital letter (A to Z) followed by four digits (0,1,.,9) for example, the following is a valid password: rgM2808. Find the total number of possible passwords, N.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Arrange the digits 0,0,2,2,3,5,7,8,9 to make a 9-digit number that is divisible by…

A:

Q: 3) Multiply the number of eggs by to find the number of muffins. Batches 1 2 3 4 Number of Eggs 2 4…

A:

Q: Please find comp,(b), type in just a number, integer. a={/3, 1) and b=5{/3–1, 3+1)

A:

Q: 5÷-90

A: Perform the division

Q: A number is divisible by 2 if

A: A number is divisible by 2 if

Q: 3 a₁ = (-1)²¹-¹12 (²) , n = 1,2,3...

A:

Q: what is 27=7+x

A:

Q: Determine the number of different ways that the letters of​ "MISSISSIPPI" can be arranged. Find that…

A: There are total 11 letters in the word "MISSISSIPPI" So, we can arrange them in 11! ways. But there…

Q: List all the ways that you can arrange the letters A,B, and C

A:

Q: Evaluate 6-[ 3 . 5 + 2 .  ( 3-2 ) ]

A: We have to evaluate: 6 - [ 3 . 5 + 2 .  ( 3 - 2 ) ]

Q: ( 5ょ) 3xー5)(42

A: Given expression is (3x^2 -5)(4x^2 +2)

Q: Every day in Mrs. Yan's class, a student's high score is posted on the boardThe high score for the…

A:

Q: Find a b. a = (5,-2), b (3,6) =

A: To find .

Q: /- wiite ay 2. -5

A:

Q: 29) Simplify:-&ry

A: 29) To simplify

Q: 6 -81 3 II

A: We have to find the value

Q: て6x-y-Sy4)さ

A: Solution: The objective is to find the value of the double integral

Q: Desmond plans to sell his homemade dog biscuits. He has baked 143,265 biscuits. He is planning to…

A: The divisibility rule for 5 is that a number is divisible by 5 if its unit digit is 0 or 5. In other…

Q: Find A - B if A = {4,5,6} , B = {6,7,8}

A: Given ,  A = {4,5,6} B = {6,7,8} We have to find A - B   A - B is the set of all elements of A that…

Q: passes through (-4, -3)

A: Given: (-4, -3), (-9, 26), and (-3, 3

Q: Use the numbers 5 and 4 to illustrate the commutative property of multiplication.

A:

Q: Find a . b. a = (-3,-1), b = (-1,8)

A:

Q: ind the pattern when every other Fibonacci number is added, starting with the second. F2=1 F2+F4=1+3…

A: We will use the basic knowledge of Fibonacci numbers to answer this question properly, in detail.

Q: How many distinguishable words, whether they have meaning or not, can be made using all the letters…

A: Given word: Hippopotamus The total number of letters in the word is 12. P repeats 3 times. O repeats…

Q: What are the values of u5 and u1?

A: This is the problem of optimisation.

Q: club of 10 people wants to choose an executive Doard consisting of presiden and three other…

A: Given data,Number of people n=10Number of board members r=6In how many ways it can be done?

Q: How many two digits number divisible by 3 ?

A:

Q: select all the expressions that are equivalent to 8/12   choice answers:   8 times 1/12    2…

A: We have to find the option

Q: How many elements does it contain?  I forgot to add that part.

A: From the above part we haven(C) = n(B) ={ (1,4),(4,1),(2,3),(3,2) }n(CB) = { (2,3),(3,2) }

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.