0

Guest

Courses New

If r,s,t are prime numbers and p,q are the positive integers such that L.c.m of p,q is r 2 s 4 t 2 ., then the total number of ordered pairs(p,q) is ??

If r,s,t are prime numbers and p,q are the positive integers such that L.c.m of p,q is r2s4t2., then the total number of ordered pairs(p,q) is ??

Grade:11

2 Answers

Abhishek Singh
105 Points
9 years ago
no. of pais possible=3*5*3=45
 
Abhishek Singh
105 Points
9 years ago
sorry it is incorrect solution, i mistakened it for factors rather than lcm question
Correct solution
Selection for p &q
 p                                      q                     ways
r0                                                 r2                                   1
r1                                                  r2                                  1
r2                                                   r0 ,r1,   r2                      1
 
Total way to select r=5
s0                             s4                                            1 way
s1                             s4                                            1 way 
s2                             s4                                            1 way
s3                              s4                                           1 way
s4                             s0,s1,s3,s4                     5 way
 taota ways to select r=9
similarly for t=5
total ways = 5*9*5= 225

Think You Can Provide A Better Answer ?

Other Related Questions on IIT JEE Entrance Exam

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More