हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा 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

योग
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
  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 7. (ii) | पृष्ठ १६६

संबंधित प्रश्न

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


Select the correct answer from the given alternatives.

A college offers 5 courses in the morning and 3 in the evening. The number of ways a student can select exactly one course, either in the morning or in the evening


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?


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


Four children are running a race:
In how many different ways could they finish the race?


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 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


To travel from a place A to place B, there are two different bus routes B1, B2, two different train routes T1, T2 and one air route A1. From place B to place C there is one bus route say B1, two different train routes say T1, T2 and one air route A1. Find the number of routes of commuting from place A to place C via place B without using similar mode of transportation


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


Find the value of 3! × 2!


Evaluate `("n"!)/("r"!("n" - "r")!)` when for any n with r = 2


Choose the correct alternative:
In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct i


Choose the correct alternative:
The number of five digit telephone numbers having at least one of their digits repeated i


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?


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


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×