Pigeon Hole "warm up" Quiz

Danny has a bunch of dice in his drawer. He recalls that 5 of them are green, 6 of them are blue and 7 of them are red. He reaches in and grabs several without looking. How many does he have to grab, in order to ensure that 3 of them are the same color?

• 5

• 6

• 7

• 8

5 integers are randomly chosen from 1 to 2015. What is the probability that there is a pair of integers whose difference is a multiple of 4?

• 1/4

• 2/4

• 3/4

• 1

What is the minimum number of people that must be in a family, so that it's guaranteed that two of them have the same month of birth?

• 10

• 13

• 17

• 23

In Melinda's messy dresser drawer, there is a jumble of 5 red socks, 7 blue socks, 7 green socks, and 4 yellow socks. If Melinda grabs a big handful of socks without looking at what she's taking, what is the minimum number of socks Melinda has to grab in order to guarantee that she has at least 4 socks of the same color?

A family of 121 crows move into a new neighborhood which has 12 identical birdhouses. What is the minimum number of crows that each birdhouse must be able to hold, in order for all the birds to fit?

There are 3 blue hats, 6 green hats and 8 red hats in a drawer. What is the minimum number of hats that must be randomly removed from the drawer to ensure that 1 green hat has been drawn?

• 12

• 13

• 14

• 11

Tags

CCSS.6.EE.B.6

A box contains three pairs of socks colored red, blue, and white, respectively. Suppose I take out the socks without looking at them. How many socks must I take out to be sure that they will include a matching pair?

• 3

• 4

• 5

• 6

There are some people in a party. What is the minimum number of people that should be in the party such that there will be at least two people among them that will have the same birthday month?

• 12

• 15

• 14

• 13

A bag contains 7 red marbles, 7 white marbles and 7 blue marbles. What is the minimum no. of marbles you have to choose randomly from the bag to ensure that we get 4 marbles of the same color?

• 4

• 7

• 10

• 18

Bonus Questions: Which one is harder to understand ?

• The question

• The material