Anagrams of LOLLIPOP

MediumCombinatorics~6m

How many distinguishable arrangements of the letters in $\textbf{LOLLIPOP}$ begin and end with the same letter? (For example, $LOLIPOPL$ counts - it starts and ends with $L$ .)

Show hints (2)+

The boundary letter must repeat: only $L$ , $O$ , or $P$ qualify. Handle each case separately.
For each, count distinct permutations of the remaining six middle letters (a multinomial), then add.

Answer

Reveal answer →

300

Create a free account to see the full worked solution and track your progress.

Create a free account

Interview format: Market Maker, Hedge Fund Quant

Anagrams of LOLLIPOP

Answer

Related questions