In a Group of 8 boys and 6 girls, Six children are to be selected. In how many different ways can they be selected such that at least one boy should be ...
There are 10 boys and 15 girls in the commerce class. Three students are selected at random. Find the probability that 2 girls and 2 boys are selected.
A dinner party to be fixed for a group of 100 people. At this party,50 people did not prefer fish,60 preferred chicken and 10 did not prefer either chic...
How many words can be formed from the word INCREASE in which both E’s do not come together?
Determine the total number of ways to form a committee consisting of 10 members from a pool of 8 men and 7 women, ensuring the committee includes at lea...
5 persons P, Q, R, S, and T are sitting around a round table. How many times can they sit in different ways so that Q and T do not sit together?
11 people decided to spend an afternoon in two groups. A group of them decided to go to the theater and the remaining decided to play tennis. In how man...
In how many different ways can the letters of the word ‘PADDLED’ be arranged?
How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 5, without repeating the digits?
Among a set of 4 black balls and 3 white balls, how many selections of 3 balls can be made such that at least 2 of them are black balls?