6. Each telephone number in a city consists of 7 digits. а. How many telephone numbers are possible if every number must start with the digit 7 ? b. How many telephone numbers start with 3 and contain the digit 6 at least once? c. How many telephone numbers have no repeated digits but must end with an odd digit?

Q: 1. Evaluate re dr.

A: Given: ∫xexdx Using Integration By parts rule, we get, ∫uv =uv-∫vdu Here, u=x and v'=ex…

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: 3,5,12,55,648?

A: If we see this pattern clearly we can see  3,5,12,55,648 3*5-3 = 12 5*12-5 = 55 12*55-12 = 648 So…

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

A:

Q: Find the number of the permutation of 8 different things taken 3 at a time

A:

Q: 12, 18, 23, 14, 14, 16, 20, 16, 14, 16 O

A: Given that, 12, 18, 23, 14, 14, 16, 20, 16, 14, 16

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: canonial/nmal merma

A:

Q: how do you solve pythagerom therom

A: We need to write about the Pythagorean theorem.

Q: A deli offers 7 different toppings. How many different choices of 5 toppings are there

A: Given that, A deli offers 7 different toppings.

Q: In you own words, describe the difference between a permutation and a combination.

A:

Q: equatia

A:

Q: Find 31 term of A.p 23,28,31,36...

A: Topic:- sequence and series

Q: What is Combination and Permutation? Give examples.

A: Combination and permutation : A permutation is that the method of golf shot things or numbers in a…

Q: 7. Vaб

A: I am going to simplify the given problem by applying radical rule.

Q: S Vsinxcosxdx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: minima, which are

A: Here we will evaluate triple integral.

Q: Evadeuate Scosnydy

A: The formula for the substitution method of the definite integral is given by…

Q: Evaluate. 101 61(12-8)!

A: To evaluate the following expression. 10!6!12-8!

Q: How many ways can you rearrange the letters in the word "Humdinger"

A: Given word is "HUMDINGER"

Q: Consider a horse race with 8 horses. Explain how the fundamental principle of counting or the…

A:

Q: Identify each problem as Permutation, combination, or both permutatin and combination problem.  1 A…

A: Given some problems and we have to identify each problem as Permutation, combination, or both…

Q: What is the smallest multiple left out of this cluster of 12, 18,9,3 and 15

A:

Q: 17/18 = 23/24

A:

Q: What amoun

A: The given rate of interest is 6% per annum. The time period is t=3 years. The simple interest earned…

Q: . Explain the differences between Permutation and Combination.

A: Permutation = 1)The different ways of arranging a set of objects into a sequential order are termed…

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: How many permutations of the letters a, b, c, d, e, f, g contain neither the pattern 'abc' nor the…

A: We have to find the permutations of the letters a, b, c, d, e, f, g contain neither the pattern…

Q: How many different arrangements can b

A: Given the word          "SIPNAYAN"

Q: an ATM personal identification number consists of 3 digits. 0,1,2,...,8 or 9 in succession. how many…

A: GivenMake 3 digit with the help of 0,1,2,3,4,5,6,7,8,9

Q: What is the number of permutations of 12 different objects taken 3 objects ? 1320 1230 O 1023 1032

A: It is given that there are n=12 different objects. The number of objects taken is r=3.

Q: Determine the number of permutations (arrangements) possible of 7 things taken 3 at a time.

A: We have to determine the number of possible permutations of 7 things taken  at a time.So,

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.