there are  n balls in the  urn from 1  to n . we randomly  draw all the balls  and  note  their numbers  in the  order  observed . how many  n digit numbers  can be  made . in the  cxase of n =4 , in the range [2000,4000]  and in the  case n = 5  in the range [ 2000, 4000] take n =5

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

A:

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: In a wooded area was 50 woodlice were captured. These were marked and released. The next day a total…

A: Given: In a wooded area was 50 woodlice were captured The next day a total of 75 woodlice were…

Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

A:

Q: How many different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: How many ways can you arrange 6 of 11 different books on a shelf?

A:

Q: suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue…

A: The probability distribution is binomial. Probability of the marble being blue=49=0.444

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: Find the number of permutations of the letters j, k, l, m, n, o and p taken 4 at a time

A: The given letters are j, k, l, m, n, o and p. 4 letters are taken at a time.

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

A:

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

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 arrangements have all 3 a's together?

A:

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 are there to select a group of 4 out of 6 people for a seating arrangement…

A: GivenNo.of people(n)=6No.of people are selected for seating arrangement(k)=4

Q: There are 30 sutdents in a class. Of the class 2/6 of the students bring have 1pet 1/6 of the…

A:

Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

A:

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: Write the following in terms of factorials. 1. number of arrangements in a row of 8 objects taken 6…

A:

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

A:

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A:

Q: #3 MAKE A STEM-AND-LEAF DISPLAY AND AN ORDERED STEM-AND-LEAF DISPLAY FOR THE 32 NUMBERS BELOW: 15,…

A: There are total 32 numbers given. The numbers are provided as follows: 15, 21, 10, 33, 41, 62, 22,…

Q: Rick has 20 hot wheels, of those cars 5/6 are rare. How many Hot wheels does he have that are NOT…

A: topic- algebraic operations

Q: 2 Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many…

A: There are total (15+11+9+12+6+11)=64 markers.  Among them 15 are red. So the probability of picking…

Q: sume that you have 9 mice in the cage: 3 white males, 3 gray females, and 3 gray males. Two se are…

A:

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

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.