12 students 3 ways

12 students are split 5 in room A, 4 in room B, and 3 in room C. How many different ways can this happen.

Combinations : How Many Outfits?

Six pair of jeans, 3 shirts, and 2 pair of sandals. How many outfits can you have?

Sixth Term of Geometric Series

Determine the sixth term of geometric series a1 = -2, r = 2

Combinations : 8 people 3 seats

There are 8 people and 3 seats. How many different ways can they be seated.

Fifth Term of the Series

What is the fifth term of the series an = n + an-1' if a0 = -3.

Expand the Expression

Expand (x-y)^6.

Expand the Expression

Expand (2x + 4)^4.

Are combinations are just an application of the counting principle?

Are combinations are just an application of the counting principle?

Solving a Recurrence Relation

Solve the recurrence relation: a(n) = 3a(n-1) - 3 a(n-2) + a(n-3), a0=1, a1=1, a2=2 -where the value in brackets reads sub. a(n) is 'a' subscript 'n'

Finding a Recurrence

Find and solve a recurrence relation for the number of ways to make a pile of n chips using red, white, and blue chips and such that no two red chips are together.