Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will choose n many people. Counting in two different ways, show that Σ()=(*)

Q: the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if each element can…

A: We have to solve given problem:

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: n different toys have among children. Find which these toys can exactly one child gets

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Q: How many four letter sequences are possible that use the letter a,b,c and d once each. ????

A: We have four different letters a, b, c and d. Our aim is to find the number of all possible…

Q: How many different ways are there to select a group of 3 out of 6 people for a committee in which…

A: If a process is done in two phases in which the first phase can be done in m ways and the second…

Q: Using the digits 2 through 8, find the number of different 5-digit numbers such that: (a) Digits…

A: Hi thankyou for posting this question,  since you have posted multiple subparts  as per our policy…

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

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Q: 11 samples of different sweets are on display as customers leave a store, they are told that they…

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Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: In a race in which eight automobiles are entered and there are no ties, in how many ways can the…

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Q: How many ways can we choose 3 items at random without replacement from 5 items if the order of the…

A: Farmula nCr=n!/(r!(n-r)!) n=5, r=3

Q: Suppose there are 10 candidates in an election. After the election, an ordered list is published of…

A: From the provided information, There are 10 candidates in an election.

Q: A bag contains 4 each of red, blue, green, and yellow balls. How manyways are there to select 8 so…

A: According to the provided information, a bag contains 4 each of red, blue, green, and yellow balls.…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: green A store sells rubber balls in 4 different colors: red, yellow, blue, and If the store has a…

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Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: ich these toys can be distributed so that exactly one child gets no toy.

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Q: Two dice are tossed 468468 times. How many times would you expect to get a sum of 5?

A: Given Information: Two dice are tossed 468 times.  Number of combinations of tossing 2 dices =…

Q: When you calculate the number of combinations of r objects taken from a group of n objects what are…

A: Selecting r objects from a group of n objects and order not matter then int can be termed as…

Q: You have 13 sweet candies that taste the same and 7 sour candies that taste the same, but all 20…

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Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: There are 14 students in the club. How many ways can a group of more than 11 students be chosen?

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Q: Let ß = (1,3,5,7,9,8,6)(2,4,10). What is the smallest positive integern for which ßn = ß-5?

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Q: There are 10 questions in a final ėxamination for Discrete Mathematics. Each question is assigned at…

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Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.