Question

There 4 boys , 6 girls line up in a row for a picture (line up in a row implies that order matters)
a. How many different ways are there if there is no restriction.
b. How many different ways are there if all boys stand together and all girls stand together?
c. How many different ways are there if all boys stand together?
d. How many ways are there if no boy is next to another?
e. How many different ways are there if no girls is next to another?

Answer 1

@OtherWorldly

Answer 2

i think its A right @jackthegreatest

Answer 3

oh i wasn't paying attention to what was in the parentheses

Answer 4

lol

Answer 5

i think its B because of the way the question is worded and whats in the parentheses

Answer 6

@nkechi is it multiple choice?

Answer 7

first one is 10!

Answer 8

@nkechi

Answer 9

no. of ways to arrange 4 boys together = 4!
no. of ways to arrange 6 girls together= 6!

Answer 10

no. of ways to arrange boys and girls together in a row = 24 * 720 * 2 = 34560
( as group of boys and group of girls can also arrange by 2 ways )

Answer 11

now we know that if there is no restriction the arrangement will be 10!=3628800

Answer 12

now we consider all the boys are together
no. of ways when 4 boys are together = 7! * 4! = 120960
(assume 4 boys as a single person, then total 7 persons)
now for finding that no boys are together, we will do-3628800-120960=3507840

Answer 13

in this way u find out that no girls are together

Answer 14

@nkechi
are you here?

Answer 15

a. 10!
b 2!
c. 4! 7!d
d. I don't understand the question, maybe you can explain me a bit
e. I don't understand the question, maybe you can explain me a bit

Answer 16

no direct aswer plz @kevin

Answer 17

and may u close this plz and welcome to os