MATH 10 4.2 LONG TEST 10SS

The fundamental principle of counting states that if there are n ways to do one thing and m ways to do another thing, then there are nm ways to do both things.

• TRUE

• FALSE

Permutations consider the order of objects, while combinations do not.

• TRUE

• FALSE

If there are 10 students in a race and medals are awarded for first, second, and third place, the number of ways to award the medals is a permutation.

• TRUE

• FALSE

The formula for combinations of n objects taken r at a time is (n!)/(n-r)!.

• TRUE

• FALSE

If there are 10 different chocolates and you want to choose 4 of them to eat, the number of combinations is 5040.

• TRUE

• FALSE

If there are 6 different songs and you want to create a playlist of 3 songs, the number of permutations is equal to the number of combinations.

• TRUE

• FALSE

The intersection of two mutually exclusive events is always empty.

• TRUE

• FALSE

If the probability of event A is 0.3 and the probability of event B is 0.5, then the probability of their union is always greater than 0.5.

• TRUE

• FALSE

The probability of the union of two events is always less than or equal to the sum of their probabilities.

• TRUE

• FALSE

Mutually exclusive events can occur at the same time.

• TRUE

• FALSE