Home
Class 12
MATHS
The streets of city are arranged like th...

The streets of city are arranged like the lines of a chess board. There are 5 streets runnings North to South & '3' streets running East to West. The numberof ways is which a man can travel from NW to SE corner going the shortest possible ditance is :

A

`sqrt(m^(2)+n^(2))`

B

`sqrt((m-1)^(2)(n-1)^(2))`

C

`((m+n)!)/(m!*n!)`

D

`((m+n-2)!)/((m-1)!*(n-1)!)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The streets of a city are arranged like the like the lines of a chess board.There are m streets running from north to south and n streets from east to west.Find the number of ways in which a man can travel from north-west to south-east corner,covering shortest possible distance.

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North–South direction and East–West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are about 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross– streets in your model. A particular cross–street is made by two streets, one running in the North – South direction and another in the East – West direction. Each cross street is referred to in the following maimer : If the 2nd street running in the North – South direction and 5th in the East – West direction meet at some crossing, then we will call this cross–street (2. 5). Using this convention, find: (i) how many cross – streets can be referred to as (4, 3). (ii) how many cross – streets can be referred to as (3, 4).

Notice the highlighted words in the following sentences. 1. "When I leave,' Sophie said, coming home from school, "I'm going to have a boutique." 2. Jansie, linking arms with her along the street, looked doubtful. 3. "I'll find it," Sophie said, staring far down the street. 4. Jansie, knowing they were both earmarked for the biscuit factory, became melancholy. 5. And she turned in through the open street door leaving Jansie standing in the rain. - When we add "ing" to a verb we get the present participle form. The present participle form is generally used along with forms of "be', " " (is, was, are, were, am) to indicate the continuous tense as in "Sophie was cominghome from school." - We can use the present participle by itself without the helping verb, when we wish to indicate that an action is happening at the same time as another. - In example 1, Sophie "said" something. "Said", here, is the main action. - What Sophie was doing while she was "saying" is indicated by "coming home from school". So we get the information of two actions happening at the same time. We convey the information in one sentence instead of two. I. Analyse the other examples in the same way. II. Pick out five other sentences from the story in which present participles are used in this sense.

Festival season is going in Agrabah and the people are going crazy to see various sorcerers, craftsmen etc. who are visiting the city to showcase their magic. A large crowd has gathered around a Card-master who is asking a logical riddle to the crowd. Whosoever succeeds in solving the riddle gets a reward. He arranges the cards of first 20 natural numbers and lists down the difference between two consecutive numbers (value on right card minus value on the left card) of the arrangement, which are 19 in number. The difference is given as -11 8 -7 -2 11 -4 12 -15 11 3 -13 9 -1 -3 6 -10 -3 5 9 The city is beautifully lightened up with candles and diyas and the vibes of happiness and joy were coming from all the directions. Aladdin and Abu are also enjoying the festival when they find a very interesting game of balloons. Inflated balloons are arranged in a straight line and are marked with English Upper case letters. The player can perform the following action any number of times (including zero): Choose any one of the balloons from the straight line and replace the letter on it with any other Uppercase English letter. Note that even if the replaced letter occurs S multiple times, only the chosen occur- rence of this letter is replaced. Find the sum of the minimum number of operations required to convert the given balloon line to balanced ones. Let's call a balloon line balanced if all characters that occur in this balloon line occur the same number of times. Line 1: ABAAACDHIAACKIOA (16 letters) Line 2: BBCABCDFAHABNAJHDYWGEJA (23 letters) Line 3: ABSDJAHSABDJAMDHANDHASAKIABCHD (30 letters)