The letters of the word ‘PRISON’ are arranged in a row in all possible ways. How many of them begin with P and end with N

24

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

240

No worries! We‘ve got your back. Try BYJU‘S free classes today!

720

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $24$
$P R I S O N$
When the first place is occupied with P and last place is occupied with N
then we are left with only four letters R, I, S, O, N to fill the four places in between P & N
$\begin{matrix} P & - & - & - & - & N ↑ & ↑ & ↑ & ↑ 4 & 3 & 2 & 1 \end{matrix}$

$\to 4 \times 3 \times 2 \times 1 = 24$ ways

$∴$ Hence, option (A) is correct.

Suggest Corrections

Similar questions

Q. If letters of the word

^{'} G Y R A T I O N^{'}

is permuted in all possible ways,
a)How many words begin with

G

b)How many words start with

G

and end with

T

In how many different ways can the letters of the word MONDAY be arranged ? How many arrangements begin with M ? How many begin with M and do not end with N ?

Q. At random all the letters of the word "ARTICLE" are arranged in all possible ways. The probability that the arrangement begins with vowel and ends with a consonant is

Q. In how many ways can the letters of the word 'PERMUTATIONS' be arranged if the
(i) words start with

P

and ends with

S

and

(ii) Vowels are all together.

Q. If the letters of the word PRISON are permuted in all possible ways and the words thus formed are arranged in dictionary order, find the rank of the word PRISON.

Join BYJU'S Learning Program

The letters of the word ‘PRISON’ are arranged in a row in all possible ways. How many of them begin with P and end with N

The correct option is A 24P R I S O NWhen the first place is occupied with P and last place is occupied with Nthen we are left with only four letters R, I, S, O, N to fill the four places in between P & NP−−−−N↑↑↑↑4321→4×3×2×1=24 ways∴ Hence, option (A) is correct.