Respuesta :
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
a). The number of ways it can be arranged in a row= 362880 ways.
b) The number of ways should be 40320 ways.
c) The number of ways should be 5040 ways.
Calculation of the number of ways:
a. Since There are 9 alphabets in the word ALGORITHM
So, The number of ways it can be arranged in a row= 9!
[tex]= 9*8*7*6*5*4*3*2*1[/tex]
= 362880 ways
b. In the case when A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
[tex]= 8*7*6*5*4*3*2*1[/tex]
= 40320 ways
c. In the case when the letters GOR must remain together (in order) as a unit, so we have 7 alphabets units remaining
= 7!
[tex]= 7*6*5*4*3*2*1[/tex]
= 5040 ways
learn more about ways here: https://brainly.com/question/18057835
