Let A = ,2,3,45,6,73 How many subsets ot Contriin d) How many anly even numbers? subsets. ot A number of contain an even elementi?

Q: How many permutations of a set five distinct objects taken three at a time are there?

A: Given:-                 How many permutations of a set five distinct objects taken three at a time…

Q: Let A=\ June, Janet, JillJeffrey, Jello) and B=\ Janet, Jello, Justin). Find n(A cup B)

A: The elements of the set (A U B) are the elements which either in A or in B or in both.

Q: Count the number of distinct ways of putting 3 balls into 4 boxes when: MB all boxes and balls are…

A: Permutation is a technique in which we determine the possible number of arrangements in a set in…

Q: a) How many 3-digit numbers that are multiples of 5 can be formed from the six digits 2,3,5,6,7 and…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  HERE USE SELECTION THEORY

Q: Determine the number of subsets of {14, 15, 16) O A. 3 В. 7 ОС. 8 O D. 6

A: To find  The number of subsets of a set {14, 15,16}

Q: 2. How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b)…

A: Number digit numbers with no repeated didgits using 4,5,6,7,8=P53=60 This is less than 520.

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}. How many subsets of A with four elements have at least three even…

A:

Q: Set A = | { 2, 2, 4, 5,1,2,6,9, 4, 5, 6, 2 } |. How many elements are in this set?

A: We have to find number of elements in set A

Q: runners are in a race. How many different ways can they finish in 1 , 2 st nd, and 3rd place?

A:

Q: How many numbers are there in the set {1,2,3,...,200} which are divisible by either 7 or 9 but not…

A:

Q: Find the number of permutations {1, 2, 3,...,8 } such that:   1) Exactly 4 digits in their usual…

A: Total elements= 8  Number of ways in which we can choose the four elements that will be in place is…

Q: Set A = { 2, 2, 4, 5,1,2,6,9, 4, 5, 6, 2 } ]. How many elements are in this set? O O 8 12 6 O 11

A:

Q: In how many ways can a committee of 6 members be formed from a group of 12 people consisting of 5…

A:

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given problem  Given that   In a hand of poker, 5 cards are dealt from a regular deck of 52…

Q: How many 3-permutations of the set S = {a, b, c, d, e} are there?

A:

Q: 2. even numbers are in their natural positions. Determine the number of permutations of {1, 2, 3, 4,…

A: Here we use combination rules. And set theoretic rules.

Q: mball machine dispenses 5 varieties of gumball (red, blue, green, yellow, and pink). How many…

A: a. The collections of 10 gumballs, at least 6 of which are red are ,  The cases obtained are  6 red…

Q: let a, b, c, d, four consecutive positive numbers show that g.c.d (a, b, c, d)=1

A: Given :- a, b, c, d, four consecutive positive numbers. As a,b,c,d are consecutive positive numbers…

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

A:

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: It is given that, there are 4 paintings and 5 vases.

Q: If B = {3, 7, 10, 12} How many subsets of B can be formed?

A: 24 subsets of B can be formed.   The detailed solution is as follows below:

Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; wheren is total number of distinct…

A: Consider two sets A and B. Then the union of these two sets contain all the elements in both A and…

Q: Refer to a bag containing 20 balls-six red, six green, and eight purple. In how many ways can we…

A:

Q: How many numbers are there in the set {1,2,3,...,200} which are divisible by neither 3 nor 4 nor 12?

A: To find: We have to find out how many numbers are there in the set 1,2,3,.....,200 which are…

Q: How many di erent arrangements are there of the letters A, B, C, D, E, and F for which E is not the…

A: Here total 6 letter are available. Letters are A , B , C , D, E, F .here use counting principle. n!…