he hexadecimal digits are as follows: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. How many different sequences of 5 hexadecimal digits are possible? A digit may repeat.

Q: How many ways can 8 runners line up in a race

A: Draw the 8 lines and find the way that how many possible ways for 8 athletes on each place.

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: In how many ways can 11 people be seated in a row?

A: There are 11 people to be seated in a row with 11 seats Assume that the first person chooses to sit…

Q: if these five numbers form a pattern such that the differernce between each pair of numbers is the…

A:

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: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

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: In choosing what music to play at a charity fund raising event Cory needs to have an equal number of…

A: If an event can be done in n different ways and an other event can be done in m different ways, then…

Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

A:

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

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 different ways can 15 runners finish in the first five places of a race?

A: It is given that n is 15 and r is 5.

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

A:

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: How many different three-digit numbers can be formed using the digits 1, 4, 5, and 9 without…

A: Given N=4 n=3

Q: How many ways can n different flags be flown on m flag poles in a row if any number of flags may be…

A: Given ,Total no. Of flag = n No.of flag poles in a row = we have to find the ways can n…

Q: w many handshakes are required for a group of 8 people to shake everyone's hand?

A:

Q: A group of 8 people, including Betty and Bob, are going to take a group photo. In how many ways can…

A: Number of people in group is 8 .

Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

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.