Answer: (b)
Step-by-step explanation:
Given
The letter "BHUTAN" has to be arranged
For filing the first place of 6 letter word, we have 6 choices
Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.
In this way, the remaining places can be filled in 4, 3, 2, and 1 way
On combining the above, 6 places can be filled in
Thus, option (b) is correct.
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
