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Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 2?

Find the no. of words formed by using all the letter of the word DISCOUNT, so that the vowels are never together?

How many numbers of five digits may be formed with the digits 7, 2, 0, 0, and 1?          

From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?

A group consists of 10 boys and 10 girls. In how many ways can 6 boys and 4 girls be selected from the group?

A person has 12 friends out of which 7 are relatives. In how many ways can he invite 6 friends such that at least 4 of them are relatives?

You have 4 distinct cubes and 2 distinct balls. Find the number of ways to arrange them such that all 4 cubes are not placed together.

In how many different ways can the letters of the word “DISCHARGE” be arranged in such a way that the vowels always come together?

A group consists of 7 boys and 12 girls. In how many ways can 3 boys and 5 girls be selected from the group?