Permutations,Combinations and Expected Value

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?

(a)  

• Combination
• Permutation
• Neither

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions
• Permutations with 10 choices and 5 positions
• Permutations with 5 numbers and 10 operations
• Permutations with 5 hot dogs and 10 drinks

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

Mathematical Equivalence

ON

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8
• 64
• 8!
• 56

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

• The principal would like to assemble a committee of 8 students from the 12-member student council.

• Factorial

• A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

• Permutation

• Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

• Combination

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72