How many 5-card poker hands are possible from a standard 52-card deck?
[2]From 10 points on a circle, how many quadrilaterals can be formed by choosing any 4 points as vertices?
[2]From 8 players, in how many ways can two teams of 4 be formed if the teams are unlabelled?
[3]From 12 light bulbs, 3 are defective. How many ways can you choose 4 bulbs to test such that at least one is defective?
From 12 light bulbs, 3 are defective. How many ways can you choose 4 bulbs to test such that at least one is defective?
[4]In how many ways can a committee of 5 be chosen from 8 candidates?
In how many ways can a committee of 5 be chosen from 8 candidates?
[2]A special deck has 20 unique cards. In how many ways can you draw a hand of 3 cards?
A special deck has 20 unique cards. In how many ways can you draw a hand of 3 cards?
[2]Find the number of diagonals in a convex 15-sided polygon.
[2]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?
[3]Find the number of ways to choose a president and three other members from 12 people.
[2]Find the number of ways to form a committee of 4 from a group of 12 people.
[2]How many ways can you choose 3 students from a class of 10 to form a team?
[2]From 15 volunteers, how many ways can you select 4 to serve on a panel?
[2]