Unit 4 Review

Front

What is the total number of different cars that can be ordered if there are 3 engines, 8 colors, and 2 transmissions?

Back

The total number of different cars is calculated by multiplying the number of options: 3 engines × 8 colors × 2 transmissions = 48 different cars.

Front

What fraction of male subjects in a study drive a sports car if 39 out of 60 male subjects drive one?

Back

The fraction of male subjects that drive a sports car is 39/60.

Front

Calculate the permutation of 12 items taken 4 at a time (12P4).

Back

12P4 = 12! / (12-4)! = 11880.

Front

What is the term used when the order of selection matters in a group of students electing a president, vice president, secretary, and treasurer?

Back

The term is 'Permutation'.

Front

If 35% of students are freshmen and 30% are sophomores, what is the probability that a randomly chosen student is not a freshman or sophomore?

Back

The probability is 35%.

Front

Define 'Permutation'.

Back

A permutation is an arrangement of objects in a specific order.

Front

Define 'Combination'.

Back

A combination is a selection of items without regard to the order.

Front

What is the formula for calculating permutations?

Back

The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items and r is the number of items to choose.

Front

What is the formula for calculating combinations?

Back

The formula for combinations is nCr = n! / [r!(n-r)!], where n is the total number of items and r is the number of items to choose.

Front

If a box contains 5 red balls and 3 blue balls, what is the probability of randomly selecting a red ball?

Back

The probability of selecting a red ball is 5/8.