If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude, then ( m-n) has the value: (A) 10 C 4 (B) 9 C 5 (C) 10 C 3 (D) 9 C 3

Question

Yash Baheti · Answer

Hi,

The answer is 9C4.
For descending order : to form a five digit no we need to choose 5 nos out of 10 nos, which is 10C5. Now u dont need to arrange them, there is only one way by which 5 different nos can be arranged in only one way.
But for ascending order we have only 9 options to choose from, as including 0 and arranging it in ascending order will put on the front and with zero on front the no will be a 4 digit no and not 5 (For ex : if you choose 0, 1, 2, 3, 4 the ascending order will be 01234 but this is a four digit no and not 5) So for this case we have 9C4 cases.

So m-n gives, 10C5-9C5 = 9C4.

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude, then ( m-n) has the value: (A) 10 C 4 (B) 9 C 5 (C) 10 C 3 (D) 9 C 3

If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude, then (m-n) has the value:
(A) ¹⁰C₄
(B) ⁹C₅
(C) ¹⁰C₃
(D) ⁹C₃

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

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

Complete Self Study Package designed by Industry Leading Experts

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

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

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude, then ( m-n) has the value: (A) 10 C 4 (B) 9 C 5 (C) 10 C 3 (D) 9 C 3

If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude, then (m-n) has the value:(A) 10C4(B) 9C5(C) 10C3(D) 9C3

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

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

Complete Self Study Package designed by Industry Leading Experts

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

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

Register Now & Win Upto 25% Scholorship

If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude, then (m-n) has the value:
(A) ¹⁰C₄
(B) ⁹C₅
(C) ¹⁰C₃
(D) ⁹C₃