हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Number of seats in the conference hall = 10

Number of persons entering into the conference hall = 3

Number of ways of getting a seat for 1st person = 10

Number of ways of getting a seat for 2nd person = 9

Number of ways of getting a seat for 3rd person = 8

By fundamental principle of multiplication

Number of ways of getting seats for 3 persons in conference hall = 10 × 9 × 8 ways = 720 ways

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 1. (iv) | पृष्ठ १६६

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 not allowed?


A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?


A teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?


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?


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.


Count the number of three-digit numbers which can be formed from the digits 2, 4, 6, 8 if repetitions of digits is not 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


Count the numbers between 999 and 10000 subject to the condition that there are at least one of the digits is repeated


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


Find the value of 6!


Find the value of 3! – 2!


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


Choose the correct alternative:
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is


All the letters of the word PADMAPRIYA are placed at random in a row. The probability that the word PRIY A occurs without getting split is ______


In a class, there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class for a function. In how many ways can the teacher make this selection?


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.


In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answer correct is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×