# GR.12 DATA MANAGEMENT

posted by .

How many ways are there to arrange the word: MATHEMATICS, if the last letter can not be "H", and the first letter must be a vowel?

• GR.12 DATA MANAGEMENT -

First of all there are 11 letters. Line them up by vowels and consonants.
A A E I (vowels)
C H M M S T T (consonants)

You know you must begin with a vowel and must not end with H.

See what you can come up with? (There is always the dictionary!)

Sra

• GR.12 DATA MANAGEMENT -

3 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2, i think

• GR.12 DATA MANAGEMENT -

I GOT IT!!!!!!!

[10!/(2!2!) - (9!/2!2!)]+[(2)(10!/2!2!2!) - [(2)(9!/2!2!2!)]=1632960

## Similar Questions

1. ### Data Management

For PLANETS, find the number of : 4-letter words which must include a L and A For MAMMALS, find the munber of: a) 7-letter words b) 7-letter word beggining with MA c) 4-letter words i) all letters different ii) 2 letters same,2 different …
2. ### Maths

1)A two-figure number is written down at random. Find the probability that a)the number is greater than 44 b)the number is less than 100 2)A letter is picked at random from the english alphabet. Find the probability that a)the letter …
3. ### Gr. 12 Data MAnagement

In how many ways can the letter of the word SECTION be arranged if the consonants must always be in the order in which they occur in the word itself?
4. ### Data Management Grade 12

How many different five-letter words can be formed using the letters of the word STEVIN, a) if only one vowel is to be used?
5. ### spelling scrabble

Hello...I need at least a 6 letter word. The third letter must be either an i or an o. The fourth letter must be a h and the sixth letter must be an e. Any geniuses out there?

Follow instructions: 1) Write the word SOLAR. 2) Add the 5th letter of the alphabetto the right of the last letter from the left. 3) Remove the 19th letter of the alphabet and replace them with the 14th letter of the Alphabet. 4) Remove …
7. ### Math Help!!!

How many 3 letter sequences can be formed if the first letter must always be a consonant (not a, e, i, o, u), the second letter must always be a vowel (a,e,i,o,u) and 3rd letter must be different from the first. A. 2100 B. 4056 C. …
8. ### critical probability

in how many ways can be the first four letters of your name be arranged to form a three letter word, (i)when the letter can be repeated (ii)when the letter can not be repeated
9. ### probobility

4 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions?
10. ### Math

Matt must take a new code for the lock to his deer lease. It must consist of 3 letters, followed by 5 digits, then 2 letter and 1 more digit. The first letter must be a vowel and the middle digit of the first 5 must be even. If no …

More Similar Questions