Serial numbers for a product are made using 3 letters followed by 2 numbers. If the letters are taken from the first 8 letters of the alphabet with no repeats and the numbers are taken from the 10 digits (0 − 9) with no repeats, how many serial numbers are possible?

Q: Your boss wants you to determine how many more people can get license plates if they make the plates…

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Q: How many ways can first and second place be awarded to 12 racers?

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Q: It tom has 6 apples and gives 2 to 2 friends.how many apples does tom has left over?

A: Given: Number of apples Tom has= 6 Number of apples he gives to his friends = 2

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

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Q: Suppose a sack contains 18 candies. There are Grey and yellow candies in the sack packed for a…

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Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: How many numbers between 1999 and 4000 can be formed with the digits 0,1,2,3 and 4 if repetition of…

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Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: If joe has 666666 snacks and aj has 2020 every time he comes over how many times will there be…

A: Let x denote the number of times aj can have cookies. So after x times, there will be no cookies…

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

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Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: How many different license plates can be made by using two letters followed by three digits selected…

A: The licensing plate should contain 5 places in which first 2 positions filled with letters and next…

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

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Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

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Q: How many three-digit number with no repeat can we make using digits from {1,2,3,4,5}

A: three-digit number with no repeat can we make using digits from {1,2,3,4,5} here we have 5 choices…

Q: One hundred large boxes are placed on the table.  Some of these boxes are selected and into each of…

A: Suppose we have n boxes and we leave f1 boxes empty and put k boxes each in (n−f1) boxes and now we…

Q: For this problem, you need the total, n, of the sum of all digits in your student ID. For example,…

A: We have n=(2+0+4+6+9+4+3+4)=32. We will find the number of solutions S   to the equation…

Q: how many 4 digit numbers can be formed from 3 2 7 6 0 4 9 if the number is greater then 4000 and…

A: Given digits is3,2,7,6,0,4,9Total no.of digits = 7

Q: How many different arrangements of 3 letters can be formed if the first letter must be W or K​…

A: The objective of this question is to find out the number of different arrangements of 3 letters that…

Q: how many ways are there to distribute 2n hats, 2n umbrellas, and 2n rain jackets to 2 people, such…

A: Selection, election and collection - these three things are referred by combination. In combination,…

Q: asha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to…

A: Given that