Combinations

A committee of 4 people is to be formed from a group of 9 people. How many possible committees can be formed?

• 126

• 128

• 130

• 132

Tags

CCSS.HSS.CP.B.9

A pizza can have 3 toppings out of a possible 7 toppings that are available. How many different pizzas can be made?

• 30

• 35

• 40

• 45

Tags

CCSS.HSS.CP.B.9

If there are 15 dots on a circle, how many triangles can be formed?

• 445

• 450

• 455

• 460

Tags

CCSS.HSS.CP.B.9

A committee of 4 people is to be created from a pool of 13 people. How many different committees can be created?

• 706

• 709

• 712

• 715

Tags

CCSS.HSS.CP.B.9

If there are 17 identified points on a circle, how many lines can be drawn?

• 136

• 146

• 156

• 166

Tags

CCSS.HSS.CP.B.9

A school committee of 5 is to be formed from 12 students. How many committees can be formed if Paul must be on the committee?

• 325

• 330

• 335

• 340

Tags

CCSS.HSS.CP.B.9

From a deck of 52 cards, a 5 card hand is dealt. How many distinct 5 card hand are there if the queen of hearts and the eight of spades must be in the hand?

• 19,400

• 19,500

• 19,600

• 19,700

Tags

CCSS.HSS.CP.B.9

A lottery has 45 numbers and you must pick 6 numbers. How many different combinations are possible if your lucky numbers 11 and 42 must be on the lottery ticket?

• 123,380

• 123,390

• 123,400

• 123,410

Tags

CCSS.HSS.CP.B.9

You are making a playlist of TWICE songs with 8 songs out of their 15 singles. How many selections are there if each playlist should contain Fancy, What is Love, and Yes or Yes?

• 792

• 795

• 798

• 801

Tags

CCSS.HSS.CP.B.9

There are 9 possible toppings for a pizza, but you only want 4 toppings, one of which must be pepperoni. How many different pizzas can be made?

• 49

• 56

• 63

• 70

Tags

CCSS.HSS.CP.B.9