Skip to content / Đến nội dung
ThichHocToan.com

Australian AMC 2016 - Intermediate Question 22

AMC AUSTRALIA · Australian AMC 2016 - Intermediate

Question 22

A sequence of 10 letters is made according to the following rules.

- The letter P can only be followed by Q or R.
- The letter Q can only be followed by R or S.
- The letter R can only be followed by S or T.
- The letter S can only be followed by T or P.
- The letter T can only be followed by P or Q.

How many possible sequences are there where the first, fourth, and tenth letters are all Q?
  1. 63
  2. 39
  3. 32
  4. 45
  5. 36