मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?

Advertisements
Advertisements

प्रश्न

A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?

बेरीज
Advertisements

उत्तर

A signal is generated from 2 flags and there are 4 flags of different colours available.

∴ 1st flag can be any one of the available 4 flags.

∴ It can be selected in 4 ways.

Now, 2nd flag is to be selected for which 3 flags are available for a different signal.

∴ 2nd flag can be anyone from these 3 flags.

∴ It can be selected in 3 ways.

∴ By using fundamental principle of multiplication, total no. of ways a signal can be generated

= 4 × 3

= 12

∴ 12 different signals can be generated.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Exercise 3.1 [पृष्ठ ४७]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.1 | Q 2 | पृष्ठ ४७

संबंधित प्रश्‍न

How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed?


How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?


Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?


How many numbers between 100 and 1000 have the digit 7 exactly once?


In a test, 5 questions are of the form 'state, true or false'. No student has got all answers correct. Also, the answer of every student is different. Find the number of students appeared for the test.


How many numbers between 100 and 1000 have the digit 7 exactly once?


A school has three gates and four staircases from the first floor to the second floor. How many ways does a student have to go from outside the school to his classroom on the second floor?


Select the correct answer from the given alternatives.

A college offers 5 courses in the morning and 3 in the evening. The number of ways a student can select exactly one course, either in the morning or in the evening


How many two-digit numbers can be formed using 1, 2, 3, 4, 5 without repetition of digits?


Three persons enter into a conference hall in which there are 10 seats. In how many ways they can take their seats?


A mobile phone has a passcode of 6 distinct digits. What is the maximum number of attempts one makes to retrieve the passcode?


Given four flags of different colours, how many different signals can be generated if each signal requires the use of three flags, one below the other?


How many three-digit numbers are there with 3 in the unit place?
with repetition


How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed


How many three-digit odd numbers can be formed by using the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed


How many three-digit numbers, which are divisible by 5, can be formed using the digits 0, 1, 2, 3, 4, 5 if repetition of digits are not allowed?


How many three-digit numbers, which are divisible by 5, can be formed using the digits 0, 1, 2, 3, 4, 5 if repetition of digits are allowed?


To travel from a place A to place B, there are two different bus routes B1, B2, two different train routes T1, T2 and one air route A1. From place B to place C there is one bus route say B1, two different train routes say T1, T2 and one air route A1. Find the number of routes of commuting from place A to place C via place B without using similar mode of transportation


How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S?


Count the total number of ways of answering 6 objective type questions, each question having 4 choices


In how many ways 10 pigeons can be placed in 3 different pigeon holes?


Find the value of 4! + 5!


Find the value of n if `1/(8!) + 1/(9!) = "n"/(10!)`


Choose the correct alternative:
In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct i


Choose the correct alternative:
The number of five digit telephone numbers having at least one of their digits repeated i


Choose the correct alternative:
The number of 10 digit number that can be written by using the digits 2 and 3 is


How many numbers are there between 99 and 1000 having atleast one of their digits 7?


There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?


Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.


If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary. Then what is the rank of the word RACHIT?


Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed joining the point


The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is ______.


The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is ______.


Three letters can be posted in five letterboxes in 35 ways.


The number of all four digit numbers which begin with 4 and end with either zero or five is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×