combinations

A pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement. What is the probability that the two balls drawn have different col...

The number of 4-digit numbers formed by using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the product of the digits is 0 is ______.

The number of ways to choose 4 cards from a pack of 52 playing cards such that all four cards are of the same suit is ______.

The number of ways to choose 3 men and 2 women from a group of 7 men and 5 women is ______.

The number of ways to choose 5 balls from a bag containing 6 red balls and 4 blue balls such that at least 3 red balls are chosen is ______.

The number of ways to form a committee of 3 members from 6 men and 4 women such that the committee has at least one woman is ______.

The number of ways to choose 2 distinct numbers from the set {1, 2, 3, ..., 10} such that their sum is even is ______.

The number of ways to choose 4 items from a set of 10 distinct items is ______.

The number of ways to choose 3 students from a class of 10 students for a competition is ______.

The number of ways to choose 2 boys and 2 girls from a group of 4 boys and 3 girls is ______.

The number of ways to choose a committee of 5 members from 10 people such that a particular person is always included is ______.

The number of ways to choose a committee of 5 members from 10 people such that a particular person is always excluded is ______.

The number of ways to choose 3 items from a set of 7 distinct items is ______.