A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 fr…

A book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages A,B,C and D are …

A two member committee comprising of one male and one female member is to be constitute out of five males and three fema…

How many different words can be formed using all the letters of the word ALLAHABAD?</br> (a) When vowels occupy th…

In how many different ways can the letters of the word SMART be arranged?

If $$5{ \times ^{\text{n}}}{{\text{P}}_3} = 4{ \times ^{\left( {{\text{n}} + 1} \right)}}{{\text{P}}_{3,}}$$   …

How many 5-digit positive integers exist the sum of whose digits are odd?

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associate. In how many different…