In how many ways can a committee be selected from 15 persons if the committee is to have I. 3 members. II. 13 members.

  In how many ways can a student choose a programme of 5 courses if 9 courses area available and 2 courses are compulsory for every student?

  Determine the number of 5 card combination out of a deck of 52 cards if at least one of the five cards has to be a king.

  A question paper has two parts, part A and part B, each containing 10 questions. If the student has to choose 8 question from part A and 5 from part B, in how many ways can he choose the questions?

  A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

  In an examination, Yamini has to select 4 questions from each part. There are 6, 7 and 8 question in part I part 2 and part 3, respectively. What is the number of possible combinations in which she choose the questions?

  In class 11 examination, a candidate has to pass in all the five subjects taken in order to be declared as pass. In how many ways can he fail?

  A mathematics paper consists of 10 questions divided into two parts I and 2. Each part containing 5 questions. A student is required to attempt 6 question in all, talking at least 2 question from each part. In how many ways can the student select the questions?

  A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has I. No girls? II. At least one boy and one girl? III. At least three girls?

  How many words each of 3 vowels and 2 consonants, can be formed from the letters of the word ‘INVOLUTE’?