In how many different ways can the letter of the word " punctual " be arranged
Answers
Answer:
20160
Step-by-step explanation:
Word = Punctual (Given)
The word PUNCTUAL consists of 8 letters in total.
The word has five consonants - p, n, c, t, l
The word has three vowels -a, u and u - where the letter ‘U’ comes twice.
Therefore, using factorial method -
The number of arrangements for the said word will be
= 8 factorial / 2 factorial
= (8 × 7 × 5 × 4 × 3 × 2 × 1)/(1 × 2)
= 20160
Hence, In 20160 different ways can the letter of the word punctual can be arranged.
Answer:
You have asked in how many different ways can the letters of the word punctual be arranged.
Step-by-step explanation:
Now here there are a few things that may change the result of the answer.
Let me consider answering to all your points.
1. if I consider word punctual it has letters {P, U, N, C, T, A, L)
Total number of letters are 7.
If I was to organize letters using all 7 letters in each word formed then only 7 X 7 combinations are possible = 49 combinations (considering that each letter is used only once without repetition and the word is a 7 letter word.
But if I was to form any number of letter word, but only having meaningful words, then the words formed will be very limited.
But forming 1 letter fords would give me 7 possible combinations and so on for two letter words, but as that was not asked so using all 7 letters in each combination, only 49 combinations are possible.