If A = {a,b,c}{a,b,c}, B ={1,2}{1,2} and C = {5,6,7}{5,6,7},   n(AxBxC) = 18. True or False?

Q: If a = (3, 2) and  b = (-5, 3), what is a + b ?

A: Given, a= (3,2), b = (-5,3)

Q: Using the digitd 3, 4, 5, 6, 7, 8, and 9, how many 4-digit numbers can be constructed if the number…

A: Solution: From the given information, the digits are 3, 4, 5, 6, 7, 8 and 9. Here, the numbers with…

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: From the provided information, The letters are {A, B, J, K, X, Z} Total letters = 6

Q: In a particular state, all automobile license plates consist of two capital letters (from…

A:

Q: c) There are 5 airplanes ready to depart. Runway A and runway D are available. How Many ways can 2…

A: We Know that there are 5 airplanes ready to depart. Runway A and runway D are available. We have to…

Q: ppose team A is playing against team 6 in baseball's World Series and team A has already won the…

A: Given, the first team to win four games of the series wins the series.

Q: →                      →               a = (−5, 3) and b = (−1, −2), so →   →   a + b = _____?

A: Given: a→=-5,3, b→=-1,-2 We know that sum of two vectorsp→=x1,y1,q→=x2,y2 is given by p→+q→=x1+x2,…

Q: Which ones are true ?

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Q: . Since 10 is the "middle" value of {9,9,10,10,17}, the …………of H is 10.

A:

Q: In a certain state, automobile license plates start with one letter of the alphabet, followed by…

A: In a certain state, automobile license plates start with one letter of the alphabet, followed by…

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: (a) by any door, (b)  by different door?

A: Here use combination  for no of ways person can leave and enter from desk

Q: The digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to make 4 digit codes. (a) How many unique codes are…

A: As per Bartleby guideline, if more than three subparts are asked only first three to be answered…

Q: 2х - а ax +1 if a b +2c b C

A:

Q: Is (2,1)=(1,2)?

A: The objective is to determine whether 2,1=1,2.

Q: If a statement is false, explain why. {1, 8, 6, r} = {6, r, 1, 8}

A:

Q: Is {4, 5} c S, where S is the powerset of {2, 3, 4, 5, 6}?

A:

Q: a) Is {5} ∈ {1, 3, 5}?   (b) Is {5} ⊆ {1, 3, 5}?   (c) Is {5} ∈ {{1}, {3}, {5}}?   (d) Is {5} ⊆…

A: A⊆B if every element of A is in B. ∈ - belongs to relation between element and set .

Q: the 1,6,15,20,15,6 come in as part of the answer

A: Here, used NCR formula NCR formula is used to find the number of ways where r objects chosen from n…

Q: In a certain office, 1/3 of the workers are women , 1/2 of the women are married and 1/3 of the…

A:

Q: Let A={1,2,3,4},B={-1,0,1,3}, then B\A is:

A: Given that: A={1,2,3,4}B={-1,0,1,3}

Q: A={1,2}and B={1,5,7}find AxB

A:

Q: (-12, 20) and (32, –13)

A:

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: A true or false test consist of 10 questions. If all the questions are answered, in how many…

A: Given that all questions are true or false type. So each question has 2 choices.  There are total 10…

Q: If 4 u = -6 3. then and uTu = uu"

A:

Q: Is {4, 5} C S, where S is the powerset of {2, 3, 4, 5, 6}?

A:

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: Given:  A={−1,0,1,2} and B={a,b,c} How many elements are in AxB?

A:

Q: Let A = {8,√17^2−15^2  , 34mod7}   and   B = {14mod8} Is A ⊆ B? Explain why or why not.     Is B…

A:

Q: If a =   2, −1, 4   and b =   2, 2, 1  ,  find the following. a × b =

A:

Q: raphin atn capabi 2 -1 9. 2 -5

A:

Q: Let A = {2,5,6,8} and B = {5,7,9,1} Find AUB

A:

Q: A code for an alarm system is made up of two letters, followed by four digits. How many codes can be…

A: There are 26 letters [A-Z] There are 10 digits. [0-9] a) We can pick the 2 letters each in 26 ways…

Q: b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind…

A:

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

A:

Q: A) 15 people are playing soccer, only 3 people know how to be a goalkeeper, how many ways are to…

A: INTRODUCTION :  probability: If a random experiment or a trial results in 'n' exhaustive, mutually…

Q: Find 3? + 2? if ? = [5, −4, 4] and ? = [1, 8, 11]

A:

Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: (a) Is 2 € {1,2, 3}? (b) Is {2} € {{1}, {2}, {3}}? (c) Is 2 € {{1},{2}, {3}}?

A: We have to say that   a) Is 2∈{1, 2, 3}? b) Is {2}∈{{1}, {2}, {3}}? c) Is 2∈{{1}, {2}, {3}}

Q: If A = {1,3, 5, 7,9} and B = {2, 3, 5, 7}, then what is: AN B? {3,5,7} {1,2,3,5,7,9} {1,2,9} {2}

A:

Q: If A={a,b,c} then how many elements does P(A) have?

A:

Q: 6. If w = -3 Espan 2 then x = 1 4. Select one: True False

A: Given  W=9-3x∈span{124,213,4-11} we have to check if x=1 is true or false.

Q: 2: Suppose A {0,2,4,6,8}, B = {1,3,5,7} and C = {2,8,4}. Find %3D 4) C\B

A:

Q: How many two-digit numbers can be formed using the digits from {2, 4, 6} if the following is true.…

A: Given: The digits are {2, 4, 6} Number of ways to form two-digit number without repetition…

Q: A = {1, 3, 5, 7), B = {3, 5, 8, 9, 12). Then show that A-B #B-A

A:

Q: 1) There are 8 essay questions in an exam. Students are required to answer only 2 of them. In how…

A: No. Of ways = 8C2  = 8!/(2! 6!)  = 8x7/2  = 4x7  = 28

Q: Find 3a + 2b if a = [5, −4, 4] and b = [1, 8, 11]

A: