If Ear 98n+2_ then 99ak 99n+3 k=2 k-2

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: We have given that,  Number of Democratic senators = 69 Number of Republican senators = 31

Q: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…

A:

Q: A car company is going to issue new ID codes to its employees. Each code will have one digit…

A: Given that there are 25 letters and 7 digits. Each code will have one digit followed by four…

Q: If 9 divides the units (the ones) digit of a number, then 9 divides the number.   true or false

A: This is a problem related to divisibility of the numbers. Please follow the procedure given below.

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6. If each number is used only…

A:

Q: On a typical keyboard, there are 26 small caps letters, 26 uppercase letters, 10 decimal digits, and…

A: Given, 26 small caps letters 26 uppercase letters 10 decimal digits 33 special characters Total no…

Q: Outside a home, there is a 4-key keypad with letters A, B, C, and D that can be used to open the…

A: Given Outside a home , there is a Keypads with letter= A,B,C,D Number of codes=4

Q: you are  taking 3 differnt courses and on monday you dedicate 1  hr in the  mormnng and 1  hr in the…

A: There are 3 different courses. One hour time in the morning and one hour time in the night is…

Q: How can 12 go into 48

A: Solution

Q: A young boy asks his mother to get 5 Game-BoyTM cartridges from h Of 10 arcade and 5 sports games.…

A: Given data, No of arcades=10 No of sport games=5 No of arcades to select is =3 No of sport games to…

Q: The door code to gain access to a super-secret underground lab is 6 digits. The first 3 digits of…

A: There are 6 digits .   Odd digits : 1,3,5,7,9  total 5 possibility   Even digits : 0,2,4,6,8  total…

Q: A technology company is going to issue new ID codes to its employees. Each code will have two…

A: Given that there are 23 letters and 8 digits. And repetition of letters is allowed. Each code will…

Q: A boy imagined a four digit number multiple of 5 with different digit .if the first digit erased,…

A:

Q: A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different…

A: First, make all possible combinations of first 3 elements of the license plate, that is we need 3…

Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

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Q: how many differecnt 4 letters words can be formed using the letters {b.a.s.e} if each word must…

A: Letters are b,a,s,e. Since this is the 4 letter words. Here, the word format does not have to be an…

Q: Each marble bag sold by Michael's Marble Company contains 3 blue marbles for every 5 orange marbles.…

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Q: ) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student…

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Q: How many 2 – digit numbers can be formed from the four integers 1, 2, 3, and 4 if repetition is…

A: Given2-digit numbers to be formedNo.of integers =4           (1,2,3,4)

Q: Outside a home, there is a 10-key keypad with letters A, B, C, D, E, F, G, H, I, and J that can be…

A: Given that A 10-key keypad with letters  A,B,C,D,E,F,G,H,I and J

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

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Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

Q: Demonstrate the addition-5-(-2) in 2 different ways.

A: 1st  way -           - 5 - (-2) =- 5 -1 (-2)                                 = - 5 + 1 (-1)·(-2),…

Q: Find the domain: {(5,2),(2,5),(1,5),(4,1)}. O {5,2,1,4,5,5,1} O {1,2,4,5}

A:

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: Outside a home, there is a 9-key keypad with letters A, B, C, D, E, F, G, H, and I that can be used…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: A computer password is to consist of three lower case letters followed by two digits. Determine how…

A:

Q: There are 3 orange balls, 2 pink balls and 1 purple ball in a box. Determine the number of possible…

A: # Given ; no of orange ball=3  no of pink ball =2  no of purple ball =1  to find no of ways to…

Q: 8. AXYVand AZYV

A:

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Combination Rule:A combination is a selection of all or part of a set of objects, without regard to…

Q: Give 7 examples with solution of General rules of Differentation

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Q: If X-Bin (100,0.2), then

A: GivenX~Binomial(100,0.2)

Q: How many even three digits numbers can be found from the digits 3,2,5,6 and 9 if each digits can be…

A: Given, s={3,2,5,6,9}

Q: How many different codes are​ available?

A: It is given that the code consists of four digits. The first digit cannot be zero and the last digit…

Q: “If the product of two counting numbers is an even counting number, then both of the counting…

A:

Q: How many even 4 digit numbers can be formed from the digits 1, 7, 2, 4, 6, 9, 3, and 0 if the…

A:

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Given: Total letters = 26

Q: An oil company is going to issue new ID codes to its employees. Each code will have one letter,…

A:

Q: Select all that apply: -5 -3] -5 3 -1 -5 1 -2 2 -4 4

A: find the determinant of each matrix seperately. If determinant is non-zero then matrix is…

Q: How many even three-digit numbers can be formed from the digits 1,2,3,5,6,8 and 9 if each digit can…

A:

Q: 3) iFmiRGP=4x+26, thens

A:

Q: Number 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?

A: We need to find two divisors of 332-1 between 75 and 85.  Now, we can use the identity a2-b2=a-ba+b…

Q: "If 2 new born rabbits are put in a pen, how тапy rabbits will be in the pen after one year?" Fluffy…

A: Given: Rabbit, always produce one male and one female offspring. Can  reproduce once every month Can…

Q: A pizza shop has 16 different toppings available for their pizzas. How many different possible…

A: Given: A pizza shop has 16 different toppings available for their pizzas. Each pizza contains 3…

Q: many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be…

A:

Q: Outside a​ home, there is a 9​-key keypad with letters A, B, C, D, E, F, G, H, and I that can be…

A: The following information has been given: There is a nine letter code which is used to open the…

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…