Find the number of permutations of the word ACCOUNTANT
Answers
Answer:
Option a is correct. 7560 ways can the letters of words "ACCOUNTANT" be arranged if vowels always occur together.
The number of permutation of a word ACCOUNTANT is 226800 by repeating the numbers and total count.
Given that,
We have to find the number of permutations of the word ACCOUNTANT.
We know that,
What is permutation?
Permutations are several ways to arrange things in a specific sequence. It can alternatively be stated as the linear reordering of items in an already ordered set. The number of permutations of n unique items, taken x at a time, is represented by the symbol ⁿPₓ.
Take the word ACCOUNTANT.
We have to count how many letters are there and how many are repeating.
Total are 10 letters.
A is repeating 2 times
C is repeating 2 times
O is 1 time
U is 1 time
N is repeating 2 times
T is repeating 2 times.
So,
The permutation of word is 10!/2!2!2!2! = 10!/2×2×2×2 = 10!/16 = 226800
Therefore, The number of permutation of a word ACCOUNTANT is 226800 by repeating the numbers and total count.
To learn more about permutation visit:
https://brainly.in/question/653775
https://brainly.in/question/12655582
#SPJ3