Consider an enclosure consisting of eight surfaces. How many view factors does this geometry involve? How many of these view factors can be determined by the application of the reciprocity and the summation rules?

Q: Find the number of distinguishable arrangements of the letters of the word. QUADRILLION

A: There are 11 letters in the word QUADRILLION in which 2 letters ( I and L) occurring twice each. So,…

Q: How many compositions of n are there into k parts of size at least 3?

A: How many compositions of n are there into k parts of size at least 3?

Q: 1. An art student starts with a white, right triangle that has a base of 16cm and heights of 80 cm.…

A: Area of a right angle triangle is 12×Base×Height

Q: A 6-volume encyclopedia is to be placed on a shelf. How many incorrect arrangements are there?

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: Compute the sum of the first 60 positive integers that are exactly divisible by 4.

A: The numbers divisible by 4 is:

Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

A: It is known that, the volume of a cuboid is V=l×w×h where l, w, h are the length width and height of…

Q: How many positive integers less than 850 are multiples of 8, 3, or 5? Use the Principle of…

A: Using the Principle of inclusion/Exclusion, the formula for A∪B∪C can be written as:…

Q: Find the number of distinct arrangements of the 9 letters in BEGINNING. Two of the same letter are…

A:

Q: Find a Peo Five point summany Box- whisker plat

A: As per our guidelines, we re allowed to answer first three sub-parts only . Thanks   Given : Stem…

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: does there exists   ______such that if n is divided by 5 the remainder is 2 and  if   ?

A: We have to check whether there exist n such that if n is divided by 5 then remainder is 2. Let if n…

Q: of the n robabilit

A:

Q: Is there a formula to find the number of partitions in a set with n-elements?

A: Bell numbers, Bn, gives the number of partitions of a set with n elements It counts the number of…

Q: Write the number $2.3 \overline{17}=2.3171717 \ldots$ as a ratio of integers.

A:

Q: a box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

A: Volume of a box =  Length × Width × Height

Q: How can the whole nunmbers from 1 to 17 be placed into the 17 disks of the diagram here so that any…

A: As shown above, By keeping the smallest number in the center and arranging the rest linearly, we get…

Q: Assume that live men and five women are to sit in a row of ten chairs. In how many ways can these…

A:

Q: How many 4-permutations of the multiset {A®, B®,C5,D²} exist?

A: claim- how many 4-permutation of the multiset A∞ , B∞ , C5 , D2exist ? as we know  number of r…

Q: Three postal workers can sort a stack of mal in 15 minutes, 40 minutes, and 120 minutes,…

A:

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. x/2 x/4 y/4 y/2 O

A:

Q: How many pairs of integers (a,b) exists such that the product of a,b and HCF of (a,b) is 1080??

A:

Q: Use an 8x8 chessboard to form rectangles, excluding squares as a reference.   Question: If…

A: The objectives are : If rectangles of the same size are counted as one, then how many rectangles of…

Q: Find the number of words of length n using the alphabet {a, b, c, d, e} in which the total number of…

A:

Q: Determine the nth term formula for the number of square tiles in the nth figure. an %3D as a2 az

A: Number of tiles in a1 is 2, n=1 Number of tiles in a2 is 4, n=2 Number of tiles in a3 is 6, n=3…

Q: A basketball team won two out of their last four games. In how many different orders could the have…

A: Polya's method includes the following 4 steps: 1. Understand the problem 2. Devise a plan 3. Carry…

Q: What is the largest number x such that x<200 and x has exactly 4 factors?

A: Factors:    Number that are multiplied together to get a product                              Factor…

Q: The expansion of 500P3 is

A: The formula for nPr is defined as nPr = n! / (n - r)!

Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

A:

Q: rmutations of a rectangle are there?

A:

Q: Consider a necklace that is made up of 8 different gems stone such that ruby is always between…

A: As per our guidelines we can answer only one question. please repost other seperately.    7.

Q: Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by 5.

A:

Q: Consider 4 digit numbers with each digit from the set {1,2,3,4,5,6,7,8,9} a) How many such numbers…

A: Solution

Q: find the sum of all even intergers less than 1000 that are exactly divisible by 7

A:

Q: Show that the number of partitions of n in which odd parts are not repeated but even parts can occur…

A: Let n=4 Then number of partitions of n=4 in which odd parts are not repeated but even parts can…

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A: Given word DEPRESSION We have to calculate No. Of words such that obtained word does not contain 2…

Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

A:

Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

A: We have to find the sum of all divisor of 5020 and then the amicable pair of the number.

Q: how many positive intergers less than 1150 are multiples of 8, 5, 3. using the principles of…

A: Floor Function: The floor function , also called the greatest integer function or integer value,…

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: Maximum volume will occur when the box is a cube with side length l.  Thus, 3l=84.  Calculate l:…

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: How many ways are there to pack ten identical moon cakes into three indistinguishable boxes so that…

A: Given: n=10 packs.

Q: How many squares of any size are in an 8x8 checkerboard using Polya's Four step method

A: Polya's created a famous four step process for problem solving which is used all over to aid people…

Q: Thirteen earthworms enter a stretching contest. In how many ways can best, a second best, and a…

A: Please rate

Q: How many polygons can be possibly made from 6 distinct points on a plane, no three of which are…

A: Answer: 42 polygons can be possibly made from 6 distinct points on a plane, no three of which are…