WebDec 6, 2024 · = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10 × 11 ( 1 × 2) ( 1 × 2) ( 1 × 2) ( 1) ( 1) ( 1) ( 1) ( 1) = 39916800 8 Step 5 On dividing the value as, = 39916800 8 = 4989600 Hence, the letters of word "MATHEMATICS" 4989600 distinct ways of arrangement. This is helpful 33 Do you have a similar question? Recalculate according to your conditions! WebJul 3, 2016 · Explanation: There are a total of 10 letters. If they were all distinguishable then the number of distinct arrangements would be 10!. We can make them distinguishable by adding subscripts: If we remove the subscripts from the letter O 's, then it no longer makes any difference what order the O 's are in and we find that 1 2! = 1 2 of our 10 ...
Permutations - Meaning, Definition, Examples - Cuemath
WebStep-by-step explanation: 5 x 4 x 3 x 2 x 1 = 120. So there are 120 different 5-letter arrangements that can be formed from the word APPLE. Advertisement. Advertisement. WebFind the number of different 8-letter arrangements that can be made from the letters of the word EDUCATION so that all vowels do not occur togethe… 02:02 Find the number of … eastern ct hiking
3. How many arrangements of the letters in the word o l i v e can …
WebThe remaining three distinct letters can be placed in the remaining three positions in $3!$ ways, which yields $$\binom{9}{4}\binom{5}{2}3! = \frac{9!}{4!5!} \cdot \frac{5!}{2!3!} … WebHere are some applications of permutations in real life scenarios. Example 1: (a) How many words can be formed using the letters of the word TRIANGLES?(b) How many of these words start with T and end with S? Solution: (a) There are 9 distinct letters in the given word. Thus, the number of different permutations (or arrangements) of the letters of this word … WebSep 25, 2015 · Solution: ‘CHAIR’ contains 5 letters. Therefore, the number of words that can be formed with these 5 letters = 5! = 5*4*3*2*1 = 120. Problem 2: Find the number of words, with or without meaning, that can be formed with the letters of the word ‘INDIA’. Solution: The word ‘INDIA’ contains 5 letters and ‘I’ comes twice. cuffie xbox series x wireless