Question

Six letter words are formed using all the letters of the word ‘NUMBER’. If these words are arranged in the order of dictionary, then the rank of the word ‘NUMBER’ is

Answer 1

Step-by-step explanation:

469....

hope help you..........

Answer 2

Permutation and Combination

Given:

Six letter words are formed using all the letters of the word ‘NUMBER’.

To Find:

Rank of word NUMBER in dictionary.

Explanation:

This type of question can be solved like it is shown alphabetically,

Alphabetically,

Starting with B $5!\ ways$

Starting with E $5!\ ways$

Starting with M $5!\ ways$

Starting with NB $4! \ ways$

Starting with NE $4! \ ways$

Starting with NM $4! \ ways$

Starting with NU $4! \ ways$

Starting with NUB $3! \ ways$

Starting with NUE $3! \ ways$

Starting with NUMBER $1! \ ways$

Therefore, the total will be

$3.(5!)+4.(4!)+2.(3!)+1!=469 \ ways$

Hence, the rank of NUMBER in dictionary is 469th.