Eight cards are drawn from a standard deck of 52 cards. How many hands contain exactly 2 spades​?

Q: How many different ID cards can be made if there are 7 digits on a card and no digit can be used…

A: Total no.of digits (0 to 9)=10given ID card has 7 digits

Q: How many 3 digit number can be made using the five digits 3, 6, 7, 8, 9 when (a) repetitions are not…

A: There are 5 digits in 3, 6, 7, 8, 9.   a) In a number the position of the digits matter. So we will…

Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

Q: In how many ways can 3 men and 4 women be seated on a bench if the women are to be seated together?…

A: If 4 woman seated on a bench together then the first woman can seat on the bench in the first,…

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed d. how…

A: The given digits are 0, 1, 6, 7, 8, and 9.

Q: A club has ten members. In how many ways can the offices of president, vice president, secretary,…

A: Given total members = 10 Since no member van serve two office

Q: How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?

A: here available digit 2,3,4,5 and 6 total 5 digits available

Q: From a deck of poker, which contains 52 cards, hands of 10 cards are drawn. How many hands contain:…

A: Probability: In a random experiment, probability indicates how likely an event is going to occur.…

Q: How many can four digits be formed using the digits 0, 1, 2, and 3 (repetition is allowed)? * O 12 O…

A:

Q: A luxury liner has 20 rooms on the upper deck. In how many ways can 5 passengers be assigned to…

A: From the provided information, A luxury liner has 20 rooms on the upper deck. 5 passengers to be…

Q: How many 7-digit telephone numbers are possible if the first digit cannot be nine and (a) only odd…

A: As per Bartleby guidelines for more than 3 parts asked for a question, only 3 is to be answered.…

Q: 6. Each telephone number in a city consists of 7 digits. а. How many telephone numbers are possible…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: if no repetitions are allowed, usinig the digits 0,1,2,3,4,5,6,7,8,9,  a. how many two-digit numbers…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: A  box contains 8 ten-peso coins and 5 five-peso coins. In how many ways can 3 coins be drawn in…

A: a) The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A: given digits  0 1 6 7 8 and 9  i.e., a total of 6 digits are given and repetition of digits is not…

Q: Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Given Information: Digits = 2, 4, 6, 7 and 9 To find how many five-digit numbers can be formed if…

Q: In how many ways can a class president, vice president, secretary and treasurer from a class of 100…

A: Given100 studentsTo findHow many ways a class president, vice president,secretary and treasureecan…

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

Q: There are 6 adult drivers to each teenage driver in a city. If there are 14,976 adult drivers in the…

A: We have to solve the problem as per instructions given in the question.

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: 1) A basketball team contains 20 players. If 5 people can be on the court at one time, how many…

A:

Q: . In a hospital with 20 medical doctors, how many ways can we select 5 at a time to be in the…

A: Number of medical doctors are 20

Q: In how many ways can cricket eleven be chosen out of 14 players but one particular player will be…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: A clown owns 8 hat(s), 7 horn(s), 6 oufits. How many different outfits can the clown put together if…

A: Solution

Q: How many committees of eight can be formed from 19 Republicans and 17 Democrats if at least one…

A: Given Republicans =19 Democrats =17

Q: How many 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: Ferris wheel has 15 cart seats. In how many possible ways can 15 people arrange themselves in the…

A: solution: The number of ways 15 people can be seated abreast = 15! =1307674368000  This is also the…

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: How many 2-digit numbers can you make using the digits 1, 2, 3, & 4? (Repetition is allowed) * O 60…

A: We need to create 2-digit numbers using 1, 2, 3, and 4. So,       number of 2-digit numbers =…

Q: A student has 10 books to arrange on a shelf of a bookcase. In how many ways can the 10 books be…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many ways 5 students be seated in a row of 5 chairs for a pictorial?

A: Given students=5 chairs= 5

Q: 2) a) How many 3-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 & 6 if each digit can…

A:

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

Q: a chief can prepare 20 different dinners. in how many ways can he select 6 of them for todays menu

A:

Q: Suppose you select five cards from an ordinary deck of cards (52 cards). How many different 5 card…

A: Total number of cards = 52 To select the cards = 5 To find different 5 card holders are there

Q: How many committed of 7 people can be formed from a pool of 30 people

A: we have to find no of ways committed of 7 people can be formed from a pool of  30 people

Q: There are 50 guests in a party. If each guest shakes hands with all other guests, how many…

A:

Q: coffee shop offers 14 different types of flavor shots. If a customer can choose any number of flavor…

A: Given a coffee shop offers 14 different types of flavor shots.

Q: select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters. In how many…

A:

Q: How many different 6-letter words can be made a. if the first letter must be E or W and no letter…

A:

Q: Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)?…

A: To determine the number of elements in the given sets under the given conditions

Q: license plates in a particular state display 2 letters followed by 3 numbers. how many different…

A:

Q: D. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: To solve:Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number…

Q: License plates in a certain state follow the format: four letters, followed by three digits. In…

A: GivenLicense plates in a certain state has four letters followed by three digitsNo.of letters from…

Q: A family with 9 members sit in a round table for dinner. How many ways can the member of the family…

A:

Q: A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a…

A: We have to use permutation m