Table of Contents
- 1 How many different 3 digit numbers can be formed using the digits 1 2 3 4 5 if digits Cannot be repeated?
- 2 How many 3 digit numbers can be formed with the digits 1 2 3 4 and 5 which are divisible by 5 and in which the digits are not repeated?
- 3 What is the value of a 3 digit number?
- 4 How are three digit numbers formed in math?
Total Number of Numbers which can be formed by numbers 1,2,3,4,5 [without repeating digitsi] = 5*4*3*2*! = 5! = 120. Now, in half them unit’s digit will be bigger than the ten’s digit and in half of them it will be smaller.
How many 3 digit numbers can be formed with the digits 1 2 3 4 and 5 which are divisible by 5 and in which the digits are not repeated?
How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming that [i] repetition of the digits is allowed? [ii] repetition of the digits is not allowed? Total possible numbers =5×4×3=60.
How many numbers are in a 4 digit number?
1 There are 4 numbers [any number from 0-9] in a 4-digit number and the starting number should be 1 or bigger than 1. 2 The thousands place in a 4-digit number cannot be 0. 3 The smallest 4 digit number is 1000 and the greatest 4 digit number is 9999. 4 There are 9000 four-digit numbers in all. More
What is the value of a 3 digit number?
The value, therefore, is 4 × 10 = 40. The third number 2 is at the hundreds place. So 2 is multiplied by 100 and its value is 2 × 100 = 200. Therefore the number is 200 + 40 + 3 = 243. Decomposing a 3-digit number: In a three-digit number, there are three place values used – hundred’s, ten’s, and units.
How are three digit numbers formed in math?
In the same way, we can define three digit numbers as those which have digits in three place values – Units, Tens and Hundreds. These are also formed by combining any three single digit numbers. Look at the simulation below to see how a 3-digit number is formed from the largest 2-digit number.
Which is the smallest 3 digit number in the world?
100 is the smallest 3-digit number and 999 is the greatest 3 digit number. A 3-digit number cannot start with 0; 10 tens make 1 hundred which is the smallest 3 digit number and 10 hundred make a thousand which is the smallest 4 digit number.
Given 5 flags of different colours, how many different signals can be generated if each signal requires use of 2 flags, one below the other?
Number of ways of finding a flag for place 1 = 5
Number of remaining flags = 4
Number of ways of finding a flag for place 2 to complete the signal = 4
∴ By fundamental principle of counting, the number of signals generated =
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A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
Event 1: A coin is tossed and the outcomes recorded.
Number of outcomes
Event 2: The coin is tossed again and the outcomes recorded.
Number of outcomes
Event 3: The coin is tossed third time and the outcomes recorded.
Number of outcomes
∴ By fundamental principle of counting, the total number of outcomes recorded =
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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.
Number of digits available = 5
Number of places for the digits = 3.
Number of ways in which place [x] can be filled = 5
m = 5
Number of ways in which place [y] can be filled = 5 [∵ Repetition is allowed]
n = 5
Number of ways in which place [z] can be filled = 5 [∵ Repetition is allowed]
p = 5
∴ By fundamental principle of counting, the number of 3-digit numbers formed. = m x n x p = 5 x 5 x 5 = 125
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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.
Number of ways in which place [x] can be filled = 5
m = 5
Number of ways in which place [y] can be filled = 4 [∵ Repetition is not allowed]
n = 4
Number of ways in which place [z] can be filled = 3 [∵ Repetition is not allowed]
p = 3
∴ By fundamental principle of counting, the total number of 3 digit numbers formed = m x n x p = 5 x 4 x 3 = 60.
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How many 3-digit odd numbers can be formed from the digits
1,2,3,4,5,6 if:
[a] the digits can be repeated [b] the digits cannot be repeated?
[a] Number of digits available = 6
Number of places [[x], [y] and [z]] for them = 3
Repetition is allowed and the 3-digit numbers formed are odd
Number of ways in which box [x] can be filled = 3 [by 1, 3 or 5 as the numbers formed are to be odd]
Number of ways of filling box [y] = 6 [∴ Repetition is allowed]
Number of ways of filling box [z] = 6 [∵ Repetition is allowed]
∴ Total number of 3-digit odd numbers formed
= m x n x p = 3 x 6 x 6 = 108
[b] Number of ways of filling box [x] = 3 [only odd numbers are to be in this box ]
Number of ways of filling box [y] = 5 [∵ Repetition is not allowed]
Number of ways of filling box [z] = 4 [∵ Repetition is not allowed]
∴ Total number of 3-digit odd numbers formed
= m x n x p = 3 x 5 x 4 = 60.
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How many three digits numbers can be formed using the digits 1 2 3 4 5 if digits Cannot be repeated?
How many 3 digits numbers can be formed from the digits 1 2 3 4 and 5 Assuming that a repetitions of digits are allowed B repetitions of digits are not allowed?
How many 3
No. of ways of choosing firsy digits = 5
No. of ways of choosing second digit = 5
No. of ways of choosing third digit = 5
Therefore, total possible numbers `= 5 xx 5 xx 5 = 125`
[ii] When repetition of digits is not allowed:
No.