1. There are 28 logs in the bottom layer of a pile of logs, 27 in the next layer, 26 in the next, and so on to the top which has 1 log. How many logs are there in the 15th layer?

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

A:

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play…

A:

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: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: How many different committees can be formed from 8 people if each committee must consist of at least…

A:

Q: Six numbered marbles are to be placed into three bags so that there are two marbles in each bag. How…

A: We have given that There are six marble into  We have to place it into 3 bag

Q: How many ordered lists are there of five items chosen from ten

A: According to the given information in this question We need to find the value of P(10,5) We know…

Q: In a certain company 80 of the employees are men. What is the total number of employees if 5 out of…

A: given In a certain company 80 of the employees are men. To Determine the total number of employees…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.