# Verbal Reasoning - Arithmetic Reasoning - Discussion

### Discussion :: Arithmetic Reasoning - Section 1 (Q.No.19)

19.

A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?

 [A]. 4 [B]. 8 [C]. 12 [D]. 24

Explanation:

Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.

 Sachin said: (Jun 27, 2011) Why come 4*3*2 ?

 Yash said: (Nov 24, 2013) Sir why to multiply the nos?

 Seher said: (Dec 10, 2013) Why did we multiplied the numbers?

 Sushil said: (Jan 15, 2014) Why we multiplied the number, not addition = 9?

 Shri said: (Feb 13, 2014) Why we multiplied the routes?

 Bhaurao said: (Mar 26, 2014) Why we multiplied the routes?

 G03 said: (Nov 11, 2014) FROM 4 ROUTES HE WILL TAKE 1 = 4C1. FROM 3 ROUTES HE WILL TAKE 1 = 3C1. FROM 2 ROUTES HE WILL TAKE 1 = 2C1. HENCE 4C1*3C1*2C1.

 Archit said: (Dec 18, 2015) Why 4*3*2 and why not 4+3+2?

 Sam said: (Feb 13, 2016) Why we multiplied the numbers not do addition?

 Namrataa said: (May 17, 2016) Why we have to multiple the numbers?

 Mausam Kumar said: (May 22, 2016) Here routes should we multiplied. Here point A to B lets assume 4 routes a1, a2, a3, a4 then from point B to C, 3 routes b1, b2 and b3 and from points C to D, 2 routes c1 and c2. There will be total 24 routes as 4 * 3 * 2 = 24. Let's see in explanation numbers of routes. 1. a1b1c1. 2. a1b1c2. 3. a1b2c1. 4. a1b2c2. 5. a1b3c1. 6. a1b3c2. Same Six ways for a2, a3 and a4. So, totally 24 ways.

 Amr said: (Jul 24, 2016) I think 12 is the right answer 4 + 3 + 2 + 3 (the main routes) = 12. * If we will take into consideration that each route has 2 ways so the answer will be 24.

 Elly said: (Feb 6, 2017) Not understand that why multiplying it? Please clarify this.

 Abinaya said: (Mar 15, 2017) Your method is correct. Thankyou @G03.

 Siyad said: (Jun 13, 2017) Well said @Mausam Kumar.

 Bhaskar said: (Jul 3, 2019) Total known route 4. So, 3 * 2 * 4 = 24.

 Rishav Singla said: (Aug 14, 2020) Why we have to multiply it?

 Gary said: (Dec 18, 2020) Agree, @Mausam Kumar. It's because. 1. a1b1c1. 2. a1b1c2. 3. a1b2c1. 4. a1b2c2. 5. a1b3c1. 6. a1b3c2.