practice12 sec 11.4, 11.5

1]
Expand using the Binomial Formula.

SOLUTION

Evaluate the binomial coefficients, using the formula

.

For example,

.

Doing the algebra indicated in the binomial expansion above, we get

2]
Find the indicated term in the expansion.

, fourth term

SOLUTION

The fourth term in the binomial expansion is

3]
Evaluate

.

SOLUTION

4]
Evaluate

.

SOLUTION

5]
A deli serves sandwiches with the following options:
3 kinds of bread, 5 kinds of meat, and lettuce or sprouts.
How many different sandwiches are possible,
assuming one item is used out of each category?

SOLUTION
By the Multiplication Principle, the answer is

6]
A small combination lock on a suitcase has 3 wheels,
each labeled with digits from 0 to 9.
How many opening combinations of 3 numbers are possible,
assuming no digit is repeated?
Assuming digits can be repeated?

SOLUTION
For the case where there are no repeats, the answer is

.

For the case where repeats are possible, the answer is


		Algebra B Practice 12 Module 6 Problems relating to sec 11.4, 11.5

	1] Expand using the Binomial Formula. SOLUTION Evaluate the binomial coefficients, using the formula . For example, . Doing the algebra indicated in the binomial expansion above, we get 2] Find the indicated term in the expansion. , fourth term SOLUTION The fourth term in the binomial expansion is 3] Evaluate . SOLUTION 4] Evaluate . SOLUTION 5] A deli serves sandwiches with the following options: 3 kinds of bread, 5 kinds of meat, and lettuce or sprouts. How many different sandwiches are possible, assuming one item is used out of each category? SOLUTION By the Multiplication Principle, the answer is 6] A small combination lock on a suitcase has 3 wheels, each labeled with digits from 0 to 9. How many opening combinations of 3 numbers are possible, assuming no digit is repeated? Assuming digits can be repeated? SOLUTION For the case where there are no repeats, the answer is . For the case where repeats are possible, the answer is . top © edmond 2003