Question

How many different strings can be made by reordering the letters of the word SUCCESS ?​

Answer 1

Answer:

7 is your answer

Step-by-step explanation:

have a great day

Answer 2

Given:

Word SUCCESS

To Find:

The number of strings that can be made by reordering the letters.

Solution:

• If all the letters of a word are unique then the total number of strings forms will be equal to the factorial of the number of letters.

• In the given word SUCCESS we have got 7! combinations if all the letters were unique.
• But since we have 2 Cs and 3Ss. we have to divide by 2! and 3!.
• In Mathematics ''Factorial is a multiplication operation of natural numbers with all the natural numbers that are less than it''.

So,

7!/(3!2!) = (7×6×5×4×3×2×1)/(3×2×1×2×1)

7! = (7×6×5×4×3×2×1)

3! = (3×2×1)

2! = (2×1)

7!/(3!2!) = 420

Hence, 420 strings can be made by reordering the letters of the word SUCCESS