HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

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

In how many ways 5 persons can be seated in a row?

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?

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

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 three-digit numbers are there with 3 in the unit place?
with repetition

How many three-digit numbers are there with 3 in the unit place? 
without repetition

How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if repetition of digits 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

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

Count the numbers between 999 and 10000 subject to the condition that there are no restriction

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 not allowed?

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?

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