1.How many positive four-digit integers can be formed that are even?9x9x9x5=3645

2.Three differently colored six-sided dice are rolled. In how many different ways can the dice turn up?
6x6x6=216

3.How many positive integers five-digit integers start with the digit 1?1x9x9x9x9=6561

4.How many positive four-digit integers can be formed if there are no restrictions? 9999x2=19998

The ones I don't know

5.How many signals can be made by raising three flags, one above the other, if there are 6 differently colored flags from which to choose?

6.In how many ways can all of the letters of the word HEXAGON be arranged if the consonants and vowels must alternate in their positions in the word?

7.The S.R.C. decided to run a "Guess the Baby Picture" contest. Six members brought their baby pictures to school and made a poster placing their names along the left side and their baby pictures, in random order, along the right side. Students entering the contest were to match the name with the correct baby picture. If each entry costs $1.00, how much would a student have to spend in order to guarantee a win?

2 answers

#1 what about zero? 9*10*10*5
#2 ok
#3 as in #1, 1*10^4
#4 1000..9999 = ?
#5 6P3
#6 4! * 3!
#7 6 (assuming a win means matching a picture to the chosen name)
For number 4 will it be 8999 but times it by two since its asking integers so negative numbers count?