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In an examination, a question paper cons...

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions ?

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In an examination, a question paper consists of 12 questions divided into parts i.e. Part I and Part II, containing 5 and 7 questions respectively. A student is required to attempt 8 questions, selecting at least 3 from each part.In how many ways can a Student select the questions ?

A mathematics paper consists of 10 questions divided into two parts I and II, each part containing 5 questions. A student is required to attempt 4 questions in all, taking at least 2 questions from each part. In how many ways can the student select the questions ?

A question paper has two parts: Part A and Part B. each part containing ten questions. If the student has to choose 8 questions form part A and 5 questions from part B. In how many ways can he choose the questions?

A question paper consists of two sections having respectively 3 and 4 questions. The following note is given on the question paper : "It is not necessary to attempt all the questions. One question from each part is compulsory.”’ In how many ways Can a candidate select the questions ?

A question paper consists of two sections having respectively, 3 and 5 questions. The followinng note is given on the paper "it is not necessory to attempt all the questions one questions from each section is compulsory". In how many ways can candidate select the questions?

A Student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 questions in part B, in how many ways can the student choose 10 questions?

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

In an examination, a student has to answer 4 questions out of 5 questions, questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.

In how many ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question.

PSEB-PERMUTATIONS AND COMBINATIONS-EXERCISE
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  2. In how many ways can a team of 3 boys and 3 girls be selected from 5 b...

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  3. Find the number of ways of selecting 9 balls from 6 red balls, 5 white...

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  4. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  6. A bag contains 5 black and 6 red balls. Determine the number of ways i...

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  7. In how many ways can a student choose a programme of 5 courses if 9 co...

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  8. How many words, with or without meaning, each of 2 vowels and 3 conson...

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  9. How many words, with or without meaning, can be formed using all the l...

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  10. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  11. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  12. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  13. If the different permutations of all the letter of the word EXAMINATIO...

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  14. How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 a...

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  15. The English alphabet has 5 vowels and 21 consonants. How many words wi...

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  16. In an examination, a question paper consists of 12 questions divided i...

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  17. Determine the number of 5-card combinations out of a deck of 52 cards ...

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  18. It is required to seat 5 men and 4 women in a row so that the women oc...

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  19. From a class of 25 students, 10 are to be chosen for an excursion part...

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  20. In how many ways can the letters of the word ASSASSINATION be arranged...

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