Number of 4- letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, wh

English

Gujarati

Hindi

6.Permutation and Combination

medium

The number of $4-$letter words, with or without meaning, each consisting of $2$ vowels and $2$ consonants, which can be formed from the letters of the word $UNIVERSE$ without repetition is $.........$.

A

$431$

B

$430$

C

$432$

D

$487$

(JEE MAIN-2023)

Solution

$UNIVERSE$

Vowels:$E, I, U$

Consonants: $N, V, R, S$

$\rightarrow{ }^3 C _2 \times{ }^4 C _2 \times 4 !=3 \times 6 \times 24=432$

Standard 11

Mathematics

Share

Similar Questions

In an examination of Mathematics paper, there are $20$ questions of equal marks and the question paper is divided into three sections : $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$. A student is required to attempt total $15$ questions taking at least $4$ questions from each section. If section $A$ has $8$questions, section $\mathrm{B}$ has $6$ questions and section $\mathrm{C}$ has $6$ questions, then the total number of ways a student can select $15$ questions is

hard

(JEE MAIN-2024)

If $^{2n}{C_2}{:^n}{C_2} = 9:2$ and $^n{C_r} = 10$, then $r = $

easy

What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these

cards are of the same colour?

medium

In a club election the number of contestants is one more than the number of maximum candidates for which a voter can vote. If the total number of ways in which a voter can vote be $62,$ then the number of candidates is :-

normal

A committee of $7$ has to be formed from $9$ boys and $4$ girls. In how many ways can this be done when the committee consists of:

at most $3$ girls?

medium