In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd po…

In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

If <sup>6</sup>P<sub>r</sub> = 360 and If <sup>6</sup>C<sub>r</sub> = 15…

Six boxes are numbered 1, 2, 3, 4, 5 and 6. Each box must contain either a white ball or a black ball. At least one box …

There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that the…

In an examination there are three multiple choice questions and each question has 4 choices. The number of ways in which…

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…

A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee…