Permutations Combinations Probability

How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team?

• 24

• 56

• 128

• 336

What is the formula for Combinations?

• ^n!∕_(n-r)! r!

• ^n!∕_(n-r)!

• ^r!∕_{(r-n)! n!}

• n!

If all items chosen are treated the same it is a ....

• Comparision

• Permutation

• Combination

• Position

How many ways can 8 runners finish in the top 3 places where the prizes for 1^st, 2^nd, and 3^rd are all different and matter?

Mathematical Equivalence

ON

In a Permutation the order of the outcomes ​ ​ (a)   , but in a Combination the order​ (b)  

• matters

• doesn't matter

At Wafer Technologies, identification codes each consist of the following sequence: 1 digit, 4 letters, 1 digit. For any 1 code, the digits (0-9) may be the same but he letters, each from the English alphabet, must all be different. Which of the following expressions gives the probability that a randomly selected identification code contains the word MATH, spelled correctly?

Calculate ₈P₂

Mathematical Equivalence

OFF

Ten students in your math class are presenting unique proofs to their classmates.  The order in which the proofs are chosen to be presented is random.   Find the probability that the proof using the HL Theorem is chosen first and your proof on CPCTC Theorem is chosen to go second.  

• 1/10

• 1/10!

• 4/5

• 1/90

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36

• 2176782336

• 60

• 1402410240

If all items chosen are treated differently it is a ...  

• Comparision

• Permutation

• Combination

• Position