Find the number of arrangements taking all the letters of the word CONTACT ans. 1400 1220 1260 1136

The word "CONTACT" has 7 letters in total. However, the letter "T" is repeated twice.

The formula for permutations of a multiset (a set where members can appear more than once) is:

n! / (r1! * r2! * ... * rk!)

where:

• n is the total number of items,
• r1, r2, ..., rk are the numbers of each type of item.

In this case, n = 7 (the total number of letters), r1 = 2 (the number of "T"s), and all other r's are 1 (since all other letters appear only once).

So, the number of arrangements is:

7! / (2! * 1! * 1! * 1! * 1! * 1! * 1!) = 5040 / 2 = 2520

So, none of the provided options are correct. The correct answer should be 2520.