Counting and permutations

If I roll two dice how many possible combinations have I?

• 12

• 6

• 36

• 18

How many picture cards are there in a deck of cards?

• 52

• 13

• 16

• 12

In a restaurant there are 4 different starters to choose from, 5 different mains and 3 desserts. How many options have I ?

• 12

• 60

• 15

• 12

An ID badge is made up of a letter and a digit. How many different ID badges are there?

• 260

• 26

• 36

• 234

How many 4 digit pin codes are there in the world?

• 1,000,000

• 1,000,000,000

• 10,000

• 1,000

How many ways can the word MATH be rearranged?

• 4

• 4!

• 12

• 16

In a basketball team 5 can play. If I have 12 players how many different ways can I set up my team?

• 5!

• 12

• 479,001,600

• 95,040

How many ways can I rearrange the word COLAISTE if it has to start with a vowel?

• 40,320

• 576

• 20,160

• 8!

There are 12 in the board room. I need to select a president, vice and treasurer. How many different ways can I do this?

• 6

• 1,320

• 479,001,600

• 3

How many 3 digit numbers can be made out of 2,3,4,5,6 if repetitions are not allowed and it must be even.

• 36

• 60

• 6

• 120