Question

A student wants to make the words
with or without meaning by using all
the letter of the word ORIGIN" How many
the maximum no. of words student can form
If these words are written in dictionary
then what will be the 181st word.​

Answer 1

Step-by-step explanation:

If we were to have six word with each letters different we could make

6!=144

6!/2!=144/48=3

Answer 2

Step-by-step explanation:

• So the word is ORIGIN
• So letters in alphabetical order will be
• G I I N O R
• So the word has 1 O, 1 R, 2 I, 1 G, 1 N
• Now words starting from G there are 5 letters and there are 2 I.
• So number of words is
• = 5!/2! = 5 x 4 x 3 x 2 x ½ = 120 / 2 = 60
• Now words starting from I number of letters n = 5
• = 5!
• = 120 (because one I is at first place and the other I is placed anywhere)
• So total number of words will be 120 + 60 = 180
• Now 181st word will start from N
• So 181st word will be N G I I R O
• Remaining words that can be arranged according to dictionary will be
• So the 181st word will be N G I I O R

Reference link will be

https://brainly.in/question/12234611