How many combinations are possible with repeats for C(5,2) O 12 O 15 20 O 10

Q: For what values of nn will the number of ways of selecting nn items from 60 exceed the number of…

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Q: Question 1:  How many ways can they line up so there is always atleast 1 duck between any two geese.

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Q: There are 8 people in a room, whose ages are between 10 and 40. Show that we can always find two…

A: Pigeonhole principle Here, we don't know the ages of 8 people, but we know the range of sum of their…

Q: How many three-digit numbers can be made from the digits 0,1,2, 3 and 4, used at most once each, if…

A: In today's digital age, cybersecurity has become an essential concern for individuals,…

Q: In how many different ways could the medals be awarded such that Arthur does not receive a medal?

A: Solution: Total number of athletes participated to marathon = 100 Arthur is one of the participated…

Q: In a leap year there are 29 days in February instead of 28 days. That means there are 366 days in a…

A: Given in a Leap year there are 29 days in February instead of 28 days and the total days in a leap…

Q: N is a natural number. How many values of 'n' can take if ( n! ) Is a multiple of 2 power 25 but not…

A: The highest power of 2 that will multiple of n! is n2+n22+n23+n24+n25+... and so on If we take n=20,…

Q: How many possible ways to make change for 25 cents using dimes, nickels, and pennies?

A: Given d is dime, n is nickels and p is penny. And 1d=10 cents,1 nickels=5 cents1 penny=1 cents

Q: How many ways are there to select 4 cards from the following deck of 50 cards such that none of them…

A: There are total 50 cards.

Q: Five prizes that are all the same will be awarded in a group of 20 people. How many ways can the…

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Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Assume a club N with six members: N = {Andy, Bill, Cathy, David, Evelyn, Erik} Count the different…

A: Finding the number of elements in a set or the total number of possible outcomes in an event is…

Q: How many 3 digit numbers com we wing the digits 2,2,4,Ś cnd 6 withat bepelition? make

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Q: How many arrangement could be made using the 9 letter  A C D A E P E Q A?   a. 9!/3!2! b. 9!/3! c.…

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Q: 13 On a particular year, February has 29 days and February 1 occurs on a Sunday. How many Sundays…

A: We have given that on a particular year, February has 29 days and February 1 occurs on Sunday.

Q: Determine the number of arrangements of 3 or 4 toys taken from a basket of 10 different toys? O 10…

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Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

Q: 1. Proofs and definitions by induction: a. Show 3 | n³ – n for all n b. Define the set of powers of…

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Q: In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected…

A: There are  different numbers from  to  that are selected in the Powerball lottery having the order…

Q: How many even 3-digit numbers can be formed from the digits 1, 2, 3, 6, and 9 with no repetitions…

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Q: How many plates are possible each plate consists of three letters followed by three digits excluding…

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Q: How many different arrangement could be made with the letters M  P   M   C   P  M a. 6!/(3! 2!)…

A: The letters are given by      M  P   M   C   P  M M = 3 P  =2 C = 1

Q: n how many different ways can you order three dozen donuts if there must be at least 2 chocolate…

A: 10 different types of donuts No of ways, We can order 3 dozen donuts.

Q: Suppose that you have 7 cards. 3 are green and 4 are yellow. The 3 green cards are numbered 1, 2,…

A: Given: Number of green cards = 3            Number of Yellow cards = 4            Total number of…

Q: Find, if possible, the number of elements in sets A, B, and C using the given information. n(A-C)=11…

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Q: 7. How many 10 bit strings have an equal number of 0's and 1's? How many have 8 (and only 8)…

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Q: A basket contains 4 apples, 6 mangoes and 7 guavas. How many ways can 4 apples be chosen all at…

A: The likelihood of all the observation in the event is known as probability. It is calculated by…

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 3 women and 7 men? Oa 63…

A: It is given that the total number of men is 7 and the total number of women is 3.

Q: Use permutations to solve. From a cooler with 9 different kinds of soda, 3 are selected for 3…

A: The formula of permutation is: Prn=n!n-r! This is the required answer.

Q: In how many ways can we select 6 people out of 12, ?of which a particular person is not included…

A: GivenNo.of people(n)=12No.of people to be selected(r)=6

Q: How many 3-digit numbers can be formed fro allowed? O 6 O 12 O 21 O 27 In how many ways can Naomi,…

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