In how many different ways can 5 people sit on a bench?
Solve for n.
Solve for r.
An orchestra has 3 violinists, 3 cellists, and 3 harpists. Assume that the players of each instrument have to sit together, but they can sit in any position in their own group. In how many ways can the conductor seat the members of the orchestra in a line?
For a mock United Nations, 4 boys and 8 girls are to be chosen. If there are 9 boys and 12 girls to choose from, how many groups are possible?
Determine the coefficient of, a, for the term of the binomial expansion of .
Determine the 5th term in the expansion of .
How many terms are there in the expansion of ?
After a sports tournament every player shakes hands with every other player once. If there are 66 handshakes in total, how many players are at the tournament?
What is the sum of the numbers on the 6th row of Pascal's triangle?
Joe wants to travel from his home to school. The school is 4 blocks east and 5 blocks north. How many routes can Joe take from his house to school if he only moves east and north.