Question

You have four tiles that say M, A, T, and H. How many words can you form from these tiles? For example, you can form "AMH" and "TH". (The words do not have to be valid English words.)

Answer 1

4 letter words if letters do not repeat
4ways to select first letter•3•2•1=24

3 letter words if letters do not repeat
4•3•2=24

2 letter words if letters do not repeat
4•3=12

Total ways to make words with 4 letters that do nor repeat 24•2+12=60

Answer 2

1) You have four tiles that say M, A, T, and H. How many words can you form from these tiles? For example, you can form "AMH" and "TH". (The words do not have to be valid English words.)

 

2)How many numbers among 1, 2, 3,  1000 are not divisible by 9?

 

3)Andrew chooses a number from 1 to 100, and Mary also chooses a number from 1 to 100. (They may choose the same number.) It turns out that the product of their numbers is even. In how many ways could Andrew and Mary have chosen their numbers?

 

4)How many numbers between 50 and 250 (inclusive) are not perfect squares?

 

5)Dmitri has a pair of standard dice; one die is blue, and the other die is yellow. He rolls both of his dice. How many ways could the number on the blue die be larger than the number on the yellow die?

 

6) Bob flips a penny, a nickel, and a dime. How many ways can she get at least two heads?