मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

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 allowed

Advertisements
Advertisements

प्रश्न

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 allowed

बेरीज
Advertisements

उत्तर

The given digits are 0, 1, 2, 3, 4, 5

To find the possible 3-digit odd numbers.

Repetition of digits is allowed:

Hundred's Ten's Unit

The unit place can be filled in 3 ways.

We are given 6 digits.

So 10’s place can be filled in 6 ways and the 100’s place can be filled in (6 – 1)(excluding zero)5 ways

So the Number of 3 digit numbers = 3 × 6 × 5 = 90

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 7. (ii) | पृष्ठ १६६

संबंधित प्रश्‍न

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


How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are allowed?


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


If numbers are formed using digits 2, 3, 4, 5, 6 without repetition, how many of them will exceed 400?


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


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?


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


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 allowed?


Find the value of 6!


Find the value of 4! + 5!


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 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


Choose the correct alternative:
There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is


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.


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


Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9 where no digits are repeated.


The number of six-digit numbers, all digits of which are odd is ______.


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×