Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 934927: How can i show that nPr = (n-1)P(r) + r*[(n-1)P(r-1)
Click here to see answer by Edwin McCravy(20054)

Question 935198: In how many ways we can a pack of 52 Playing cards be divided in 4 sets three of them having 17 Cards each and the fourth just one card ?
Click here to see answer by Edwin McCravy(20054)

Question 935215: A committee contains 8 members to be chossen from 9 teachers and 4 students.
How many ways can this be done if the committee is to contain exactly 3
students?
Click here to see answer by TimothyLamb(4379)

Question 935248: hi,can anyone teach me how to solve this type of question?
A password for a system access consists of upper case alphabets A to Z and numerics 0 to 9 and special character @,(,),/
A)if the password consists of 3 alphabets 3 numerics and 2 special character ,then how many password can be formed?
B)if repetition is not allowed how many password of 3 alphabets 3 numerics and 2 special character are possible?
thanks!
Click here to see answer by Theo(13342)

Question 935310: How many 6 digit numbers can be formed using 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
Click here to see answer by Alan3354(69443)

Question 935356: A Child had 10 number cubes, with a different number from 0 to 9 painted on it. Each cube
bears only one single digit number. The child misses the cubes with number 3,4,7,9 and 0.
How many two-digit numbers the child has missed due to missing cubes?
A) 120 b) 65 c) 20 d) 90
Click here to see answer by oscargut(2103)

Question 935376: If six times the number of permutations of n things 4 together is equal to one-seventh of the number of permutation of n things 6 together, then 'n' is equal to?
Click here to see answer by oscargut(2103)

Question 935436: A Child had 10 number cubes, with a different number from 0 to 9 painted on it. Each cube
bears only one single digit number. The child misses the cubes with number 3,4,7,9 and 0.
How many two-digit numbers the child has missed due to missing cubes?
Click here to see answer by oscargut(2103)

Question 935448: Five different digits 7 3 6 2 5 are given. Out of these digits, 4 digits numbers are formed. Find the no. of 4-digit numbers formed which have at least one digit repeated.
Click here to see answer by Edwin McCravy(20054)

Question 935500: In how many ways can a team of 5 be selected among 12
Click here to see answer by stanbon(75887)

Question 935722: in how many ways can 5 differently colour flag can be arrange in a row
Click here to see answer by Alan3354(69443)

Question 928472: a code is to consist of three digits followed by three letters. Find the number of possible codes if the first cannot be 0 or 1 and replacement is not permitted?
Click here to see answer by tommyt3rd(5050)

Question 931568: a government official can be male or female; a B.S degree, master's degree or PhD holder; appointed or not. in how many ways can the said official be classified?
Click here to see answer by tommyt3rd(5050)

Question 931015: How many five-letter codes can be formed, using the alphabet, if repetition of letters is not allowed
Click here to see answer by tommyt3rd(5050)

Question 935765: Good day! My question goes here, "How many 5-digit even numbers can be formed out of the digits 2, 4, 5, 8 and 9 without repetition?"
Click here to see answer by MathLover1(20849)

Question 926913: This problem involves combinations.
In how many ways can a committee of five members be chosen from a club of 35 members?
Click here to see answer by tommyt3rd(5050)

Question 926764: Find the middle term of the first term is x and the second term is 8?
Click here to see answer by tommyt3rd(5050)

Question 933286: how many even 5 digit numbers are there?
Click here to see answer by tommyt3rd(5050)

Question 929530: I have 11 committees and 67 members who can choose any number of committees to be a part of. How many combinations of committees does this make?
Click here to see answer by tommyt3rd(5050)

Question 931748: Thirty students signed up to play summer basketball at a summer camp. How many different six person teams are possible?
Click here to see answer by tommyt3rd(5050)

Question 926359: In how many ways can a committee of five people be selected from seven women and 8 men. How many possibilities are there for a committee of 1 women and 3 men?

Click here to see answer by tommyt3rd(5050)

Question 931907: a basketball team consists of 11 freshmen and 7 sophomores. 5 players are selected at random to play. how many can a team of 5 players be selected if there must be at least 3 sophomores
Click here to see answer by tommyt3rd(5050)

Question 935820: In how many ways can a person get a bridge hand which consists of cards seven or lower?Please help me solve this problem.
Click here to see answer by MathLover1(20849)

Question 935853: How many football games are played if each of the nine football teams in a certain conference plays each of the other teams in that conference once?Please help me solve this question.
Click here to see answer by stanbon(75887)

Question 935856: From a group of 25 Democrats and 18 Republicans;how many committees consisting of 3 Democrats and 2 Republicans are possible?From a group of 25 Democrats and 18 Republicans;if one of two specific Democrats is to be chairman;how many committees are possible with the same balance of Democrats and Republicans as previously stated?Please help me solve these questions.
Click here to see answer by stanbon(75887)

Question 935769: in how many way can 10 letter be put in 10 addressed Envelope such that exactly 5 letter go in wrong envelopes.

Click here to see answer by Edwin McCravy(20054)

Question 935921: 5 stdnts to be chosen in a chess club from 6 boys and 8 girls. How many ways it is possible to form the comittee if 3 of the boys are cousins and are either all in the team or none?
Click here to see answer by Edwin McCravy(20054)

Question 933341: In how many ways a student can solve 12 questions of true /false with one answer
Click here to see answer by tommyt3rd(5050)

Question 935980: The question is: Four students are running in an election for class representative on the student council. In how many different ways can the four names be listed on the ballot?
Since there are four students to pick from and there's one position, the notation for this should be 4P1= 4!/(4-1)!= 4. However the answer states that there are 24 ways, how do you yield that answer and why?
Click here to see answer by Alan3354(69443)

Question 936198: ten students are participating in a race. In how many ways can the first prize be won?
Click here to see answer by ewatrrr(24785)

Question 936198: ten students are participating in a race. In how many ways can the first prize be won?
Click here to see answer by Alan3354(69443)

Question 936069: Please help me solve this:
Jodi is parking seven different types of vehicles side by side facing a display window at the dealership where she works, how many ways can she park them so that the convertible is not next to the subcompact?
Click here to see answer by Theo(13342)

Question 936253: In how many ways can a person get a bridge hand consisting of two aces;one king;one queen;three jacks;and the six other cards ten or less?Please help me to solve this question.
Click here to see answer by Theo(13342)

Question 936245: How many circles are determined by nine points?
Click here to see answer by richard1234(7193)

Question 936407: how many quadrilateral can be formed from 25 points out of which 7 are collinear
Click here to see answer by srinivas.g(540)

Question 936417: there are 10 subjects in school day but sixth standard students have only 5 period a day. in how many way can we form time table for the day for sixth class if no subject is repeated
Click here to see answer by srinivas.g(540)

Question 936529: A five person committee is to be elected from an organization's membership of 12 people. How many different committees are possible?
Click here to see answer by TimothyLamb(4379)

Question 936511: 6 women and 5 men are interviewing for 4 positions. How many ways can the positions be filled if at least 1 man is hired?
Click here to see answer by Edwin McCravy(20054)

Question 936638: How many words, with or without meaning can be formed using all the letters of the word EQUATION using each letter exactly once in each word?
Click here to see answer by ewatrrr(24785)

Question 936640: The man had 60 red bricks, 90 brown bricks and 100 pink bricks. If the man allows the little pig to pick 40 red bricks, 80 brown bricks, and 80 pink bricks how many different ways could the little pig pick his bricks?

Click here to see answer by ewatrrr(24785)

Question 936633: In how many ways can five students be seated in row of eight seat if a certain two students
a) insist on setting next to each other
b) Refuse to sit next to each other
Click here to see answer by Edwin McCravy(20054)

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