MATH SOLVE

4 months ago

Q:
# In how many ways can the letters in the word balloon be arranged? 210 1,260 2,520 5,040

Accepted Solution

A:

Answer:The number of ways in which the word "balloon" can be arranged is 1260Step-by-step explanation:The given word is "balloon: The word has 7 letters.We know that n different things can be arranged in n! ways.Hence, 7 different things can be arranged in 7! ways.Now, in the word"balloon" the characters "l" and "o" repeats twice. Hence, these can be arranged themselves in 2! ways. Hence, we have to divide 7! by (2!2!).Therefore, the number of ways in which the word "balloon" can be arranged is[tex]\frac{7!}{2!2!}\\\\=1260[/tex]