**Question 1.**

How many ways can the word banana be rearranged so that all the a’s are together.

**Question 2.**

Solve for n

^{n+1}P_{4} = 32760

**Question 3.**

Solve for n

^{n}C_{4} =5 ^{n}C_{3}

**Question 4.**

Expand (4x – 1/(x))^5

**Question 5.**

A group of 15 people are waiting to enter a dinner, 4 are chosen at random, if they are then seated around a circular table. How many combinations of this situation are there?

**Question 6.**

Two successive numbers, 715 and 1287, are found in the nth row of a pascal triangle. Determine the n value.

**Question 7.**

Without expanding, what is the 6th term of (3x – 2y)^9

Answer.

Question 1.

Question 2.

n=14

Question 4.

Question 5.

Question 6.

n=13