The Student Room Group

Arrangments/Permutations/Combinations HELP!

"I have 7 yoghurts to last the week: 2 strawberry; 2 Peach;3 Raspberry. I select 1 yoghurt each day.
a) In how many different orders can I eat the yoghurts?
b) If I select a yoghurt at random each day, what is the probability that I eat the two strawberry ones on consecutive days?"

I think for part a you do 7(permutation)7, which gives you 5040 . But I'm not sure if that correct or not.
Reply 1
a) 7!/(3!*2!*2!) = 210
b) [6!/(3!*1!*2!)]/[7!/(3!*2!*2!)] = 60/210 =2/7
Reply 2
Original post by DotCoder
a) 7!/(3!*2!*2!) = 210
b) [6!/(3!*1!*2!)]/[7!/(3!*2!*2!)] = 60/210 =2/7


Thank you, would you possibly be able to help me with the second question on this post ... https://www.thestudentroom.co.uk/showthread.php?t=4990330

Quick Reply

Latest