In a Deque of size 10, if you enqueue 8 elements and then dequeue 5 elements, how many elements are currently in the Deque?a)0b)5c)8d)3

Break Down the Problem

1. Start with an empty Deque of size 10.
2. Enqueue 8 elements.
3. Dequeue 5 elements.
4. Calculate the number of elements left in the Deque.

Relevant Concepts

• The initial size of the Deque is 0 (empty).
• Enqueue operation adds elements to the Deque.
• Dequeue operation removes elements from the Deque.

Analysis and Detail

1. Initially: 0 elements in the Deque.
2. After Enqueuing:
   • Enqueued 8 elements:
     $\text{Elements after enqueueing} = 0 + 8 = 8$
3. After Dequeuing:
   • Dequeued 5 elements:
     $\text{Elements after dequeueing} = 8 - 5 = 3$

Verify and Summarize

• Initial elements: 0
• After enqueue: 8
• After dequeue: 3
• The calculations show that there are 3 elements remaining in the Deque.

Final Answer

The number of elements currently in the Deque is 3 (d).