How many integral solutions are there for the equation A+B+C = 10 where A ≥ 1 , B ≥ 2 , C ≥ 3 ? Options: A . &nbsp5C2 B . &nbsp6C2 C . &nbsp12C2 D . &nbsp8C2 E . &nbspNone of these

How many integral solutions are there for the equation A+B+C = 10 where A≥

Question

How many integral solutions are there for the equation A+B+C = 10 where

A \geq 1, B \geq 2, C \geq 3

Answer: Option B
:
B
This is a question based on

S ‘ a D

with a varying lower limit.
Take out 1+2+3=6 from the RHS. Equation changes to
A+B+C = 4. Answer will the arrangement of 4 zeroes and 2 ones =

^{6} C_{2}

Was this answer helpful ?

Next Question

Question 1. The number of four digit numbers that can be formed from the digits 2,3,5,6,7,8 so that the digits do not repeat and t....do not repeat and the terminal digits are even is ___.

Question 2. What are the numbers of ways in which 5 similar balls will be put in 4 distinct baskets when the second basket has exact....distinct baskets when the second basket has exactly 2 balls?

Question 3. The number of 5 digit telephone numbers having at least one of their digits repeated is? (0 can be the starting dig....repeated is? (0 can be the starting digit of the number)

Question 4. Arpit and Rita will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one ....hand signs, what is the probability that Arpit will win?

Question 5. If 30% of the visitors to an ice cream shop have chocolate ice-cream, then what is the probability that 2 out of 3 peopl....store on Saturday at 5 pm will have chocolate ice-cream?

Question 6. What is the probability of getting at least one six in a single throw of three unbiased dice?....

Question 7. Arun draws 3 balls at random from a basket which contains 4 red and 5 blue balls. What are the odds in favour of these b....are the odds in favour of these being all blue?

Question 8. For a drama, 3 students need to be selected out of 6 students A,B,C,D,E and F. If A is already selected, what is the pro....already selected, what is the probability of selecting C also?

Question 9. Parul and Vijay throw 3 dice in a single throw. It is known that Parul throws a total of 16. Find Vijay’s probabi....of 16. Find Vijay’s probability of getting a higher value.

Question 10. Determine the no. of terms in the expansion of (a+b+c+d)5 and (1+a+a2+a3)5....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0