Let 1 = a1 < a2 < a3 < … < ak = n be the positive divisors of n in increasing order.  For example, if n = 12, we have a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 6, a7 = 12. If n = (a3)3 – (a2)3, what is n?

Q: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: O store associate at TRU wants to create a stu O 6 multichoose 29 O 29 to the power of 6 O 29! O…

A: Given, a bookstore associate at TRU wants to create a student bundle of 6 textbooks from among 29…

Q: * For each integer n, let Cn = {n²,n³, nª}. How many elements are in each of C-2, C-1, Co, and C3?…

A: The set always contains the distinct elements. Given Cn = n2 , n3 , n4 Consider C-2 = (-2)2 , (-2)3…

Q: How many positive integers less than 10000 are there which contain at least one 7 or at least one 9…

A:

Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

A:

Q: The order of permutation (13)(27)(8)(1237)(648)(5) is 04 O 12 18 O 2 07 O None of them

A:

Q: Which of the sets are Linearly Dependent 1 2 3 00 CD-10 3 A a. Set A and B are Dependent, C is…

A:

Q: In (5 – x) – In (5 + x) = -In 9

A:

Q: Suppose that A, B, C, and D are digits from 1 to 9 and that A + B = CD (a) What digit must C be?…

A: Given that  A, B, C and D are digits from 1 to 9 such that  A + B = CD   (a)  If 1 ≤ A, B ≤ 4 then A…

Q: Show that 1+2+3+...+n= ("""). (";"').

A:

Q: In how many ways can one put 8 adults and 4 children in a row, such that no two children are next to…

A: We have given that there are 8 adults and 4 children in a row. Here our claim to to show in how many…

Q: 2. U={x|x is an integer, 2<x<10}. A and B are subsets of U such that A= {multiples of 3}, B={factors…

A: Using set theory we have to answer following.

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits being…

A:

Q: H.W. Evaluate the following expressions for m= 6, n=2, a 0, b 0, c 0, d-0, and e-0 (i) a+=4+ ++m*n ;…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert.  In how many ways can…

A: Permutation: A permutation is an arrangement of objects in a definite order. Let n is the total…

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

Q: In the following diagram below, what coordinate should point D be moved to make ABCD a…

A: Answer is following.

Q: Show that for any integer n , n2 – 2 is not divisible by 3.

A:

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

A:

Q: The sum of the first n natural numbers, S = 1 + 2 + 3 + first n natural numbers is 171, determine…

A: Consider the given information:

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 &amp; 8

Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: How many different words consisting of 13 letters can be written such that exactly 4 of the letters…

A: Total Letter=13=4(A)+4(B)+5(C) Then number ways = ?

Q: SR | |1 how many ways the letters of the word “BYTEDANCE™ can be arranged if two E always come…

A: Given word is "BYTEDANCE"letter "E" is repeated 2 timestotal no.of letters=9

Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

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

A:

Q: Is it required for the "n" to be there, or can I just say G1 = 2001?

A: As we see from previous answer

Q: Find the amount of money owed at the end of 5 years if $60,000 is borrowed at 7% per year compounded…

A: Here we have to find amount of money at the end of 5 years if money borrowed is $60, 000 at 7% rate…

Q: Suppose that you have 7 cards. 3 are green and 4 are yellow. The 3 green cards are numbered 1, 2,…

A: Given: Number of green cards = 3            Number of Yellow cards = 4            Total number of…

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

A:

Q: Prove the property of the Fibonacci numbers, F(n) = 5(n 4) + 3F(n-5), for n ≥6

A: We have to prove the property of the given Fibonacci numbers F(n) = 5F(n-4) + 3F(n-5) ,  for n≥6

Q: A tennis tournament has n = 64 players, who are drawn uniformly at random to play against each other…

A: Given that n = 64

Q: If n(p(A))= 256, then how many elements are there in A?

A: