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

8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?

Find the distinct permutations of the letters of the word MISSISSIPPI?

How many ways can the product a² b³ c⁴ be expressed without exponents?

In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together

In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?

A coin is tossed 8 times, how many different sequences of heads and tails are possible?

A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?

How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative

How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are together

How many strings are there using the letters of the word INTERMEDIATE, if vowels are never together

How many strings are there using the letters of the word INTERMEDIATE, if no two vowels are together

Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many distinct 6-digit numbers are there?

Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are even?

Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are divisible by 4?

If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
GARDEN

If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
DANGER

Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85^th string?

If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY

Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?

Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?