The assertion (A) states that every state in India has a High Court in its territory, which is false. There are 29 states in India, but only 25 High Courts. Some High Courts, like the Guwahati High Court, serve more than one state. Therefore, not every state has its own distinctive High Court.

On the other hand, the reason (R) mentions that the Constitution of India provides for a High Court in each state. This is true. The Constitution of India does include provisions for High Courts, but does not mandate a separate High Court for each state. Based on this, several states share High Courts.

So option 4: `A is false but R is true` is accurate. The other options are incorrect because they either state that A is true, which it is not, or that R is false, which it is not. Option 1 and 2 also incorrectly suggest that R may be the correct explanation of A.