Question

a) How many of the integers from 1 to 1000 are divisible by at least one...

a) How many of the integers from 1 to 1000 are divisible by at least one of 3, 5, and 7?

b)(When the expression

(A+ a)(B + b)(C + c)(D + d)(E + e)
is multiplied out, how many terms will have three uppercase letters?

c) How many ways are there to pick a combination of k things from {1, 2,...,n} if the elements 1 and 2 cannot both be picked?

d) 2 How many ways are there to put eight rooks on a chessboard so that no one rook can capture another? (This means that no two are in the same row or same column.) How many ways are there to put five noncapturing rooks on a chessboard?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) When the expression (A+ a)(B + b)(C + c)(D + d)(E + e) is multiplied...
a) When the expression (A+ a)(B + b)(C + c)(D + d)(E + e) is multiplied out, how many terms will have three uppercase letters? b) How many ways are there to pick a combination of k things from {1, 2,...,n} if the elements 1 and 2 cannot both be picked? d) 2 How many ways are there to put eight rooks on a chessboard so that no one rook can capture another? (This means that no two are in...
How many of the integers from 1 to 200 are divisible by 3,4 or 5?
How many of the integers from 1 to 200 are divisible by 3,4 or 5?
(A+ a)(B + b)(C + c)(D + d)(E + e) is multiplied out, how many terms...
(A+ a)(B + b)(C + c)(D + d)(E + e) is multiplied out, how many terms will have three uppercase letters?
How many ways can we pick three distinct integers from {1,2, ...,15} such that their sum...
How many ways can we pick three distinct integers from {1,2, ...,15} such that their sum is divisible by 3?
How many ways are there in which 2 purple stones, 1 yellow stone, 2 orange stones,...
How many ways are there in which 2 purple stones, 1 yellow stone, 2 orange stones, and 2 red stones can be placed on a 10x10 chessboard so that no two stones are in the same row and no two stones are in the same column. Please ignore symmetries, so that there are 4 ways of placing a stone on a corner of the chessboard, not 1 way. Show all work and write down the final expression (with explanations) whose...
Prove the following by contraposition: If the product of two integers is not divisible by an...
Prove the following by contraposition: If the product of two integers is not divisible by an integer n, then neither integer is divisible by n. (Match the Numbers With the Letter to the right) 1 Contraposition ___ A x = kn where k is also an integer 2 definition of divisible ___ B xy is divisible by n 3 by substitution ___ C xy = (kn)y 4 by associative rule ___ D If the product of two integers is not...
1) How many 9 digits can be formed from the integers 5 5 6 6 6...
1) How many 9 digits can be formed from the integers 5 5 6 6 6 2 8 9 7? 2) 9 candidates seek the nomination for a political party. In how many ways can a voter rank his first, second, and third choices? 3) How many permutations are there from 4 letters B G G A? Write out all possible permutations bellow.
Consider lists of length 6 made from the letters A, B, C, D, E, F, G,...
Consider lists of length 6 made from the letters A, B, C, D, E, F, G, H. How many such lists are possible if repetition is not allowed and the list contains two consecutive vowels? How many integers between 1 and 1000 are divisible by 5? How many are not divisible by 5? How many integers between 1 and 9999 have no repeated digits? How many have at least one repeated digit?
For each of the following, compute the numerical answer. a) How many integers from 1 to...
For each of the following, compute the numerical answer. a) How many integers from 1 to 100 are multiples of 4 or 7? b) If you only had to answer 7 questions, in how many ways could you do so? (There are total 10 questions)
From the numbers between 1 to 30, find out how many of them are divisible by...
From the numbers between 1 to 30, find out how many of them are divisible by 2 and 4. When a number is divisible by 3, print "Three". When a number is divisible by 5, print "Five". When a number is divisible by both, print "ThreeFive". Otherwise, just print the number
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT