Fill in the blank: In Hadoop, the idea of running the computation where the data resides is called …………………………………………………………….

In HDFS high availability (HA), in the event of failure of the active namenode the secondary namenode takes over its duties.

A graph has five vertices with degree sequence . How many edges does the graph have?

Consider the graph: How many connected components does this graph have? Enter a whole number.

In a class of 30 students, 18 have a cat, 15 have a dog, and 7 have both. How many have neither? Enter a whole number.

Which formulas correctly apply Inclusion-Exclusion for two sets A and B? (Select all that apply.)

How many ways can 12 identical apples be distributed among 4 children if each child may receive zero or more? Enter a whole number.

Let A be the adjacency matrix (vertices v1–v4): A = |0 1 1 0| |1 0 0 1| |1 0 0 1| |0 1 1 0| What is (A²)14, the number of walks of length 2 from v1 to v4?

Compute P(6, 3), the number of ordered arrangements of 3 letters chosen from {A,B,C,D,E,F} without repetition. Enter a whole number.

How many distinguishable arrangements are there of the letters in LEVEL? Enter a whole number.