The number of ways in which any four letters can be selected from the word "EXAMINATION” if two letters are alike and other two letters are also alike.

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

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

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

Open in App

Solution

The correct option is C
3

Word "EXAMINATION” has 11 letters out of them there are 3 pairs: {A, A}, {I, I} and {N, N}.

So, number of distinct letters is 8.

Two letters are alike and other two letters are also alike

The number of ways is $^{3} C_{2}$ = 3

$^{3} C_{2}$ is a number of ways of choosing two pairs of alike letter from 3 such pairs

Suggest Corrections

Similar questions

The number of ways in which any four letters can be selected from the word "EXAMINATION” if two letters are alike and other two are distinct.

Q. Find the number of ways in which the letters of the word 'MUNMUN' can be arranged so that no two alike letters are together?

The number of ways in which any four letters can be selected from the word "EXAMINATION” is ______.

The number of words, with or without meaning, that can be formed by taking $4$ letters at a time from the letters of the word $^{'} {SYLLABUS}^{'}$ such that two letters are distinct and two letters are alike, is

Q. The number of four letter words can be formed from the letters of the word INFINITY so that 3 are alike, one is different is

Join BYJU'S Learning Program