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

There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a r…

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together…

In how many ways can a committee of 4 people be chosen out of 8 people?

How many factors of 2<sup>5</sup> × 3<sup>6</sup> × 5<sup>2</sup> are pe…

I have an amount of Rs. 10 lakh, which I went to invest in stocks of some companies. I always invest only amounts that a…

In how many ways can the letters of the word 'LEADER' be arranged?

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same na…