Question Type 4: Using combinations formula Exercises

How many 5-card poker hands are possible from a standard 52-card deck?

From 10 points on a circle, how many quadrilaterals can be formed by choosing any 4 points as vertices?

From 8 players, in how many ways can two teams of 4 be formed if the teams are unlabelled?

From 12 light bulbs, 3 are defective. How many ways can you choose 4 bulbs to test such that at least one is defective?

In how many ways can a committee of 5 be chosen from 8 candidates?

A special deck has 20 unique cards. In how many ways can you draw a hand of 3 cards?

Find the number of diagonals in a convex 15-sided polygon.

In a group of 7 men and 5 women, how many ways can you form a committee of 4 consisting of exactly 2 men and 2 women?

Find the number of ways to choose a president and three other members from 12 people.

Find the number of ways to form a committee of 4 from a group of 12 people.

How many ways can you choose 3 students from a class of 10 to form a team?

From 15 volunteers, how many ways can you select 4 to serve on a panel?