Question 1036090: Concerning a car license plate in the Philippines (3 letters, 3 numbers). How many plates can be formed if the first letter comes from the word statistics, second letter is different from the first, the last letter is consonant, and the digits are all lower than 5?
Found 2 solutions by josmiceli, Megand19:
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! There are 5 different letters in the word
"statistics", s, t, a, i, and c you can use
for the 1st letter
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After you choose 1 of these, there are
25 other letters to choose from for
the 2nd letter
--------------------------------
There are 5 choices for a vowel
a, e, i, o, and u. there are
 consonants
--------------------------
Possible numbers for 4th, 5th, and 6th are
0 through 4 =  choices each
-------------------------
Number of possible plates are:
Hope I got it
Answer by Megand19(1)  (Show Source):
You can put this solution on YOUR website! Well, the word statistics has 10 letters.
So, the first word can use any of the ten letters. You have 10 choices.
10 x __ x __ x __ x __ x __
The second letter can't be the letter you chose. That leaves you with 9 choices.
10 x 9 x __ x __ x __ x __
The last letter is a consonant. I'm not sure if you mean a consonant in the word statistic or any consonant, so if it's from the word statistic, you'd have 3 choices. If you mean any consonant from the alphabet, you'd have 21 choices.
10 x 9 x 3 OR 21 x __ x __ x __
The last three digits are lower than five so you have 5 choices. 0,1,2,3,4.
10 x 9 x 3 OR 21 x 5 x 5 x 5
Multiply them all together and that's your answer!
Hope this helps(:
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