Question

How many different differences can be obtained by taking only 2 numbers at a time from 3, 5, 2, 10 and 15?

• A. 19
• B. 1898
• C. 1440
• D. 4320
• E. 720

Hint:

When asked for differences, list systematically or use absolute differences depending on context.

Answer 1

The Correct Option is A

Step 1: Set given.
\(\{2,3,5,10,15\}\).
Step 2: Compute all differences.
Distinct values: \(\{-13,-12,-10,-8,-7,-5,-3,-2,-1,0,1,2,3,5,7,8,10,12,13,15\}\).
Step 3: Count.
There are 19 distinct differences.
Final Answer:
\[ \boxed{19} \]