Consider a process generates the page reference string: $2,3,6,3,2,7,2,3,6,7,2,3,2,6,3,7.$ This process has $3$ frames allocated to it$.$ What is the number of page faults for Least Recently Used $($LRU$)$ Page Replacement algorithm?

Group of answer choices

$12$

$11$

$10$

$13$