Question

A. How many ways can the letters of the word ALGORITHM be arranged in a row?

Answer 1

Answer:

a). The number if ways it can be arranged in a row= 362880 ways

b). 40320 ways

c). 5040 ways

Step-by-step explanation:

There are 9 alphabets in the word ALGORITHM

The number if ways it can be arranged in a row= 9!

The number if ways it can be arranged in a row= 9*8*7*6*5*4*3*2*1

The number if ways it can be arranged in a row= 362880 ways

if A and L must remain together (in order) as a unit, then we take it as 8 alphabets

= 8!

= 8*7*6*5*4*3*2*1

= 40320 ways

if the letters GOR must remain together (in order) as a unit, then we have 7 alphabets units remaining

= 7!

= 7*6*5*4*3*2*1

= 5040 ways