BackUse the Fundamental Counting Principle to solve Exercises 29–40. The model of the car you are thinking of buying is available in nine different colors and three different styles (hatchback, sedan, or sport). In how many ways can you order the car?
Phone numbers are 10 digits long. How many possible phone numbers are there if the 1st and 4th numbers can't be 0?
Find the term indicated in the expansion. (2x-3)^6; fifth term
Use the formula for nCr to solve Exercises 49–56. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?
Emily is organizing her closet. She has 15 shirts left to hang but has space in one section for 6 shirts. How many ways could she hang shirts in that section?
Evaluate n!/(n-r)!r! for n = 8 and r = 3
Use the formula for nCr to evaluate each expression. 5C0
How many ways are there to arrange the letters in the word CALCULUS?
Evaluate the given binomial coefficient.
Evaluate the expression. *permutation notation* the number of permutations 8 things taken 3 at a time (sub 8)P(sub 3)
Use the formula for nCr to evaluate each expression. 4C4
Evaluate the given expression.
A student formed a club at their school. They have 13 members, and need to elect a president, vice president, and treasurer. How many ways are there to fill these officer positions?
Evaluate the given expression.
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (y-3)4