Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arrang<br><br>

How many arrangements of four 0's (zeroes), two 1's and two 2's are there in which the first 1 occur before the first 2?<br><br>

In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?<br><br>

A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and n<br><br>

Groups, each containing 3 boys are to be formed out of 5 boys, A, B , C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups ?<br><br>

In how many ways, a cricket team of 11 players can be made from 15 players, if a particulars player is always chosen ?<br><br>

In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?<br><br>

Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?<br><br>

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?<br><br>

In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and<br><br>