Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
15.9k views
in Combinations by (48.9k points)
closed by

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

A. 60
B. 120
C. 7200
D. 720

1 Answer

+1 vote
by (50.3k points)
selected by
 
Best answer

C. 7200

Explanation:

We know that,

Total number of given vowels=4

Total number of given consonant=5

Total number of words that can be formed by 2 vowels and 3 consonants =4C2.5C3 = 4!/2!2!

2 vowel and 3 consonant =5!

Total number of word = 5! ×4!/2!2! = 7200

Hence, Option (C) 7200 is the correct answer.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...