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
756 views
in Combinations by (26.7k points)
closed by

How many different products can be obtained by multiplying two or more of the numbers 2,5,6,7,9?

1 Answer

+1 vote
by (26.1k points)
selected by
 
Best answer

The given numbers are 2,5,6,7,9. 

The number of different products when 2 or more is taking = the number of ways of taking product of 2 number + number of ways of taking product 3 numbers + number of ways of taking product of 4 number + number of ways taking 5 together 

= 5C2 + 5C3 + 5C4 + 5C5 

= \(\frac{5!}{3!\space2!}+\frac{5!}{2!\space3!}+\frac{5!}{1!\space4!}+\frac{5!}{0!\space5!}\)

 = \(\frac{5.4}{2.1}+\frac{5.4}{2.}+\frac{5}{1}+1\)

= 10 + 10 + 5 + 1 

= 26

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.

...