Class 11

Math

Algebra

Permutations and Combinations

Let $p$ be the number of permutations of AAAABBBC in which As or Bs occur together, then $p$ is

- divisible by 6
- even number
- divisible by 11
- divisible by 3

The number of permutations = $⌊3⌊5 =20$

The number of permutations = $⌊4⌊6 =30$

The number of permutations $=⌊3=6$

$p=20+30−6=44$

Hence, options B and C are correct.