# Tutor profile: Andrew H.

## Questions

### Subject: Music Theory

If one wishes to use a diminished seventh chord to tonicize a minor chord, must the diminished seventh chord be a fully-diminished seventh or a half-diminished seventh?

Fully-diminished seventh. In this scenario the minor chord being tonicized would take the role of a i chord in a harmonic minor key. The seventh scale degree of this key is always a fully-diminished seventh chord. In accordance with classical conventions, minor chords must never be tonicized with half-diminished seventh chords.

### Subject: Discrete Math

6 friends each take 1 skittle from a bag of original skittles (5 possible flavors). Prove that at least 2 of them took the same flavor.

The Pigeonhole Principle states that given x pigeons and y holes and x > y, at least one hole must house at least two pigeons. With the friends (6) being our pigeons and skittle flavors (5) being our pigeonholes and friends > flavors (6 > 5), we can be confident that at least two of the six friends took the same flavor skittle, by the Pigeonhole Principle.

### Subject: C++ Programming

What is the value of c? int a = 5; int* b = &a; int c = ++*b - a;

0

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