Question

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. How many different arrangements are there of the letters in the word CORRECT?

Answer 1

Permutation is used.

No. of arrangements = 1260

Explanation:

Permutation is used for choosing & arrangement of 'r' out of 'n' objects, when sequence is important.

Total no. of alphabets in CORRECT = 7

C is repeated twice, R is repeated twice

So, Total No. of arrangements = 7 !

(2!)(2!)

= 5040 / 4

= 1260