Question

In how many ways, can the letters of the word PENCIL be arranged so that

1) N is always next to E

2) N and E are always together.

Answer 1

Answer:

N is always next to E = 120

N and E are always together = 240

Step-by-step explanation:

In how many ways, can the letters of the word PENCIL be arranged so that

PENCIL

6 Letters

N is always next to E

=> P C I L  , (EN)

Total Number of Ways = 5! = 120

N and E are always together.

in The above Case Position of N & E can be interchaged so

Total Number of Ways = 5!2! = 240

N is always next to E = 120

N and E are always together = 240

Answer 2

Answer:

i)120ways ans..

Step-by-step explanation:

6!=6×5×4×3×2×1

=30×12×2

=30×24

= 720

let N E =1 leter

now 4 letters left

4+1=5

5!=5×4×3×2×1

=20×6

=120 ways ans..