Ques – 2: Each student in a class of 40 plays at least one indoor game chess, carrom and scrabble. 18 play chess, 20 play scrabble and 27 play carrom. 7 play chess and scrabble, 12 play scrabble and carrom and 4 play chess, carrom and scrabble. Find the number of students who play (i) chess and carrom. (i1) chess, carrom but not scrabble.

Q: ces 1, Be Precise An arts academy requires there to be 3 teachers for every 75 students and 6 tutors…

A: A fraction is a number in the form xy (where x and y are both integers and y ≠ 0). In the above…

Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…

A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.

Q: From a group of 16 women and 17 men, a researcher wants to randomly select 8 women and 8 men for a…

A:

Q: o You need to travel in between city X and Y. You can either fly, take a train, or a bus. There are…

A: Explanation of the answer is as follows

Q: Which of the following is √16?

A: Given: 16

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: In a popular tale of wizards and witches, a group of them finds themselves in a room with doors…

A: Let x represents the expected value, The probabilities with which the group selects the four doors…

Q: (a) Suppose that there were 11 candy bars in the box. Given that Bob did homework for a total of 54…

A: a). Total number of hours spent on homework: 54+243+703=1000 minutes Number of candy bars=10…

Q: A box contains 48 marbles. my of the marbles are red. 3 of the red marbles are striped. 4 How many…

A:

Q: If ~q is TRUE, then what will be the output of ~p -> ~q Select one: TRUE ~p q p

A: Statement p→q is true if q is true or both p, q are false As it is given that ~q is TRUE. So, ~p→~q…

Q: and pigs in a field totals 35. The as exactly two legs and each pig h pigs are in the field. (Do not…

A: Given: Four playing boys marbles and their names have given.

Q: Adrian sells handmade puppets for $10 apiece. One puppet gets damaged, so Adrian sells it for $6,…

A: Adrian sells handmade puppets for $10 apiece. One puppet gets damaged, so Adrian sells it for $6,…

Q: ro -1 + If A = : B = [ → 2A – 3B -3 -81 %3D l13 -3) true O False 2.

A: Matrix combination true or false

Q: 50% of the audience at a play was boys. The rest was girls. There were 300 boys and girls at the…

A:

Q: Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green. (a)…

A:

Q: 13b) Suppose the number of permutations without replacement is 720 and the number of combinations…

A:

Q: (b) A team of 5 people is to be formed from 4 men and 6 women. Find the number of possible teams if…

A:

Q: Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the…

A: Given that - Roll a six-sided die, and then flip a fair coin as many times as the number on the die.

Q: Q5. In how many ways can 7 men and 10 women sit in a row if the seat numbers 1-7 are for the men the…

A: Number of ways to allocate 7 men in seats 1-7 will be: Number of ways = 7!…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: In a group of 15 students, 6 students are girls.  In how many ways can a team of 10  students be…

A:

Q: a. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, and orange, but not…

A: Fav. colors of Ann, Lita, Alvin and Johnny are as given below: 1.Red 2.Blue 3.Green 4.Orange But no…

Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

A:

Q: -2 (2) Danain Kange um

A: Consider the function whose domain and range are required to determine.

Q: Solve the following game. XX = last two digits of your roll no. Player B Player A BI 3+XX 4+XX A2…

A: A game with only two players is called as a two person zero sum game. If the losses of one player…

Q: Find the values of z for (k=1 and k=4), if z=(-1)9 1-i/3 and -1 2. 1+i/3 and -1 1+i/3 and -i 2…

A: De Moivre's Theorem for fractional power:                                           (cos(θ)+i…

Q: 3. Suppose there are 6 black pens, 7 blue pens, and 5 red pens. Find the number of ways you can…

A: Given,no.of black pens=6no.of blue pens=7no.of red pens=5Total no.of pens=18

Q: remy's bedroom has two doors leading into the hallway. His house has four doors leading to the…

A: Here Jeremy's bedroom has two doors leading into the hallway. His house has four doors leading to…

Q: If an = n+ 3", n > 0 then choose the correct option a3 = 2a2 – ao +7 az = 2a2 + ao –7 az = 2a2 + a1…

A: Recurrence relation

Q: b to the 2nd power -2bc+c to the 2nd power if b=3 and c=2

A: Given a function with variables b and c as shown belowWe need to find the value of the function if b…

Q: Q2. If JANB| = 0, JAnc| = 0, Bnc = 1, how many ways can we choose three distinct elements. one from…

A:

Q: Find A and B if -1 L-1 5 s + 1 s² – s –12 `12 إجابتك

A:

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: x², if x 2 and x 36 5. q(x) · 10 – x,

A:

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

A:

Q: een 4 toys and each of the other 2 Q. Find the number of ways that 4 people can sit in (i) a row of…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: Q-2: a) Four married couples have bought 8 seats in the same row for a concert. In how many…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four…

A:

Q: Two cards are drawn from a deck. Number of times the first card is six and the second card is red in…

A: Given that  number of times the first card is six and second card is red

Q: If (ar + bx) = 4n and n+1 k-1 (ak - bx) = , then > ak = n+2 k-1 k-1

A:

Q: (Show your solutions) In how many ways can 4 boys and 4 girls be seated at a round table if a.…

A: Total number of people = 8 a. without any restriction, 4 boys and 4 girls can be seated in 8! =…

Q: 4. If A = 2i - 3j + k and B = -3i – 4k then A B = F O O

A: We have to choose the correct answer from the given option according to the given condition

Q: Michael needs to choose a password for his bank card. The password can use the digits 0, 1, seven…

A:

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: topic- permutation and combinations

Q: Students of a class are made to stand in rows .If one student is extra in row,there would 2 rows…

A:

Q: 3. If BC = x-11, AC = 7x-36, and AB = 3x + 14, find the following.

A:

Q: 9o = 1, In = In-1 + 2gn-2 + + ngo-

A: Given: g0=1 gn=gn-1+2gn-2+.....+ng0

Q: -3 4 ind A-, it A = 2 3 3 -4 -2 -3 , -3 -41 O -1 -2 -3 4 2 3 12 13 O -1 -4 -2

A:

Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain

A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0,…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.