How many ways can you arrange the letters of the word 'MATH'?
The number of ways to arrange a set of distinct objects is given by the factorial of the number of objects.
What is the probability of rolling a sum of 7 with two fair dice?
The probability of an event is the number of successful outcomes divided by the total number of possible outcomes.
How many different ways can you select 3 objects from a set of 10?
The number of ways to select r objects from a set of n objects is given by the combination formula nCr.
What is the probability of drawing a red card from a standard deck of 52 cards?
The probability of drawing a red card is the ratio of red cards to total cards in the deck.
If a fair coin is tossed 3 times, what is the probability of getting exactly 2 heads?
The probability of a specific outcome in a sequence of events is calculated by the binomial probability formula.
How many different ways can you arrange 3 blue balls, 2 red balls, and 1 green ball?
The number of ways to arrange a set of objects with repetitions is given by the multinomial coefficient.
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In how many ways can you distribute 5 identical objects into 3 distinct boxes?
The number of ways to distribute identical objects into distinct boxes is given by the stars and bars formula.
What is the number of ways to arrange the digits 1, 2, 3, 4, and 5 in a 5-digit number?
The number of ways to arrange n distinct objects is given by n! (n factorial).
If a fair die is rolled, what is the probability of rolling an even number?
The probability of an event is calculated by dividing the number of successful outcomes by the total number of possible outcomes.