Practicing Success
In how many ways can the letters of the word 'MOMENT' be arranged? |
120 160 360 720 |
360 |
We have to arrange MOMENT word in different ways, So, The number of ways in which n letters can be rearranged (if the letters are different) = n! Number of ways in which n letters can be rearranged if x letter is repeated twice = n!/(2! × 2! × 2! ....x times) The number of ways in which n letters can be rearranged if 1 letter is repeated twice = n!/2! Calculation: As M is repeated twice in MOMENT The number of ways in which MOMENT = 6!/2! = 6 × 5 × 4 × 3 × 2 × 1/(2 × 1) = 360 |