If there are n persons, how many arrangements will be in a row? n! А. (п-г)! n! n!r! В. n! С. D. (n – 1)! Or !

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: Givenno.of paintings=4no.of vases=5Total no.of donations=9

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: |P({1, 2, 3})| = ? O 3 O 6 O 8 O 9

A:

Q: If 2.P(5,3) =p(n,4),find n

A:

Q: w many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: Use permutation concept to solve

Q: Suppose 7 of the 15 players are left-handed. How many ways are there to select 3 left-handed…

A:

Q: Write the sums in expanded form: 3 k +1 (a) (b) sin (i + 2) (c) (d) E(-1)'iæ*- COS i 2k – 1 k=1 -…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How…

A: (a)   Determine the number of ways that the 2 letters can be selected from three letters without…

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Given that,  8 different type of candies. 50 cherry, 50 stawberry ,40 orange, 70 lemon, 30…

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

A:

Q: I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red balls labeled…

A: The events are occurring simultaneously. So,  Total combinations=combinations for green…

Q: 1! 2! 3! let A= 2! 3! 4! , det(A)= 3! 4! 5! Select one: а. 120 b. 4!*3!*2! С. 20 d. 24

A: From the give problem: A=1!2!3!2!3!4!3!4!5!

Q: many are odd? (d) how many are uunupres - In how many ways can a party of 7 persons arrange…

A: Given that there are 3 boys and 2 girls. There are a total of 5 people.(a) Since, there is no…

Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: In a group of friends going to the cinema we count 8 men, 7 women and 10 children. They wish to sit…

A: we have to find no.of ways .

Q: Suppose A = {1,2,3,4,5,6} and B= {5,6,7,8,9} Then A\B=..?

A: We know that A\B = {x∈A and x∉B}

Q: Evaluate 9! 10! а. 6! - 3! b. с. 4!(10-4 )! 9! 10!

A: Note: We are allowed to solve one question/three subparts at a time so kindly upload remaining parts…

Q: Thank you! Could you help me with D,E,F

A: (D) To find: The symmetric closure of R. (E) To find: The transitive closure of R. (F) To produce:…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A:

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: A bakery sells 6 different kinds of pastry (and has at least 12 of each kind). (A.1) How many…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: There are 40 men in class. 29 of them have no facial hair (i.e. neither a beard nor a mustache). If…

A: ³

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.