मराठी

The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.

Advertisements
Advertisements

प्रश्न

The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.

पर्याय

  • 63

  • 1956

  • 720

  • 21

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

The number of signals that can be sent by 6 flags of different colours taking one or more at a time is 1956.

Explanation:

Number of signals using one flag = 6P1 = 6

Number of signals using two flags = 6P2 = 30

Number of signals using three flags = 6P3 = 120

Number of signals using four flags = 6P4 = 360

Number of signals using five flags = 6P5 = 720

Number of signals using all six flags = 6P6 = 720

Therefore, the total number of signals using one or more flags at a time is 6 + 30 + 120 + 360 + 720 + 720 = 1956 (Using addition principle).

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Permutations and Combinations - Solved Examples [पृष्ठ १२१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 7 Permutations and Combinations
Solved Examples | Q 17 | पृष्ठ १२१

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Is 3! + 4! = 7!?


if `1/(6!) + 1/(7!) = x/(8!)`, find x


Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?


How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?


In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?


Find x in each of the following:

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]

How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?


How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?


In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?


Evaluate each of the following:

10P4 

Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.


The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is


How many numbers greater than 10 lacs be formed from 2, 3, 0, 3, 4, 2, 3 ?


The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is


The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is


The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is


  1. In how many ways can 8 identical beads be strung on a necklace?
  2. In how many ways can 8 boys form a ring?

The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:


If n is a positive integer, then the number of terms in the expansion of (x + a)n is:


A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?


A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

How will the answer change if each question may have more than one correct answers?


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many distinct 6-digit numbers are there?


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are divisible by 4?


If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
GARDEN


If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
DANGER


Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?


Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?


Choose the correct alternative:
If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + · · · + nPn is


If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?


Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.


The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______.


If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.


8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places is ______.


Number of words from the letters of the words BHARAT in which B and H will never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×