11.1 Counting Techniques

Permutation, Combination or Neither?
Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Permutation, Combination or Neither?
Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation
• Combination

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

₇P₂

• 0
• 7
• 42
• 210

Tags

CCSS.HSS.CP.B.9

₁₂C₃

• 36
• 66
• 220
• 500

Tags

CCSS.HSS.CP.B.9

What is the formula for Combinations, nCr?

• ^n!∕_{(n-r)!   *  r!}
• ^n!∕_(n-r)!
• ^r!∕_{(r-n)!  *  n!}
• n!

Six friends are going to play a ball game.  Each team has 3 players.  How many different team combinations are possible?

• 120
• 6
• 18
• 20

Tags

CCSS.HSS.CP.B.9

Mai's history quiz has 3 true/false questions.  How many ways could she complete the quiz? (hint: write out all the possible ways she could complete the quiz)

• 2
• 3
• 8
• None of the these

Chong needs to make a Twitter password.  They only allow 3 letters then 4 digits.  The letters can only be uppercase.  How many passwords are possible?

• 175,760,000
• 234,812,452
• 54,000,000
• None of these

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Tags

CCSS.HSS.CP.B.9