# Thread: arrangement of items after removing some of the items

1. ## arrangement of items after removing some of the items

A bag contains 4 red cubic blocks, 3 yellow cubic blocks, . Five cubic blocks are removed randomly from the bag and arranged in line . How many arrangements are possible?

the ans is 8 .

my working is 7P5/(4! X 3!) =17.5 .

my ans is rather weird.

2. ## Re: arrangement of items after removing some of the items

I make it 25.

You take 5 blocks out: they can be:
a) 4 red, 1 yellow
b) 3 red, 2 yellow
c) 2 red, 3 yellow.

There are 5 ways of arranging (a) and 10 ways each of arranging (b) and (c). I will leave it to you to do the work.

3. ## Re: arrangement of items after removing some of the items

hi, do you mean the ans provided is wrong?

i folloow your working , 5!/4! + 5!/(2! x 3!) + 5!/(3! x 2!) = 25

4. ## Re: arrangement of items after removing some of the items

Originally Posted by delso
hi, do you mean the ans provided is wrong?

i folloow your working , 5!/4! + 5!/(2! x 3!) + 5!/(3! x 2!) = 25
Presumably -- unless you stated the question wrong.