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
182 views
in Aptitude by (115k points)
closed by
How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?

1 Answer

0 votes
by (113k points)
selected by
 
Best answer

Calculation:

According to the question;

The 4 digit number having 7 before 3 can be formed 

Case I : When 7 is thousand placed, then 3 may be hundred place, tens place and unit place

From the following 73xy, 7x3y, 7xy3 are formed

Total such number formed = 3 × (8 × 7) = 168

Case II : When 7 is hundred placed, then 3 may be tens place and unit place

From the following x73y, x7y3 are formed

Total such number formed = 2 × (7 × 7) = 98

Case III : When 7 is tens place and 3 is unit place

From the following xy73 is formed

Total such number formed = 7 × 7 = 49

The total such number formed = 168 + 98 + 49 = 315

∴ The 4 digit number greater than 1000 with 7 before 3 is 315.

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.

Categories

...