MATHEMATICS COLLEGE

(c) In how many way we can list the digits{1,1,2,2,3,4,5}so that notwo identical digit are in consecutive positions?

Answers

Answer 1

Answer:

660 ways

Step-by-step explanation:

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

ps:I countedthepairsasoneeach.

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= 660 ways

Related Questions

ABCD is a rectangle. Find the length of each diagonal.AC=3(x-3) BD=x+3 AC=___ BD=___
Solve the following equation for the given variable 3(x+6)=-9
4.1 Number Talk: DivisionFind each quotient mentally. 645 divided by 100 645 divided by 50 48.6 divided by 30 48.6 divided by x
you deposit $70 in a savings account that pays an annual interest rate of 3%. How much simple interest would you earn in 2.5 years?
One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?

Please help!!!! i will mark the 1st person brainliest!

Answers

Answer:

i am the first person to answer mark me brainliest! :D

Step-by-step explanation:

Solve and graph 8(p+3)>2(4p-1)

Answers

Was my answer correct...!?

James is 10 feet below sea level if he increases his elevation by 30 feet what is his location?

Answers

His location would be 20 feet above the sea level because...

30+-10= 20 because adding a negative to a positive is basically like subtracting.

Can have a brainliest answer now please?

10x² - 43x+28

How do you factor this

Answers

Keep your head up.

Trying to spread positivity

-1+[(10-12)3 divided by (-16)] =

Answers

Answer:Step-by-step explanation:

-1.375

A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase?