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? - Mathematics and Statistics

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 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?


How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?


How many two-letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?


How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?


A letter lock contains 3 rings, each ring containing 5 different letters. Determine the maximum number of false trials that can be made before the lock is opened?


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


How many numbers formed with the digits 0, 1, 2, 5, 7, 8 will fall between 13 and 1000 if digits can be repeated?


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?


Answer the following:

A hall has 12 lamps and every lamp can be switched on independently. Find the number of ways of illuminating the hall.


There are 3 types of toy car and 2 types of toy train available in a shop. Find the number of ways a baby can buy a toy car and a toy train?


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


Four children are running a race:
In how many ways can the first two places be filled?


Count the number of three-digit numbers which can be formed from the digits 2, 4, 6, 8 if repetitions of digits is allowed


How many three-digit numbers are there with 3 in the unit place? 
without repetition


How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if repetition of digits allowed


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


Count the numbers between 999 and 10000 subject to the condition that there are no digit is repeated


How many numbers are there between 1 and 1000 (both inclusive) which are divisible neither by 2 nor by 5?


How many strings can be formed using the letters of the word LOTUS if the word either starts with L or ends with S?


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


Find the value of 6!


Find the value of 4! + 5!


Find the value of 3! – 2!


Find the value of 3! × 2!


Find the value of `(12!)/(9! xx 3!)`


Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 6, r = 2


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


Choose the correct alternative:
The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is


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


The number of ways in which a garland can be formed by using 10 identical pink flowers and 9 identical white flowers is ______


How many numbers are there between 99 and 1000 having 7 in the units place?


In how many ways can this diagram be coloured subject to the following two conditions?
(i) Each of the smaller triangle is to be painted with one of three colours: red, blue or green.
(ii) No two adjacent regions have the same colour.


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.


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


In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in 312 ways.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×