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Tamil Nadu Board of Secondary EducationHSC Arts कक्षा ११

HSC Arts कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions

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If `""^(("n"  – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
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If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
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Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
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Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

[4] Combinatorics and Mathematical Induction
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Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?

[4] Combinatorics and Mathematical Induction
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A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?

[4] Combinatorics and Mathematical Induction
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A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?

[4] Combinatorics and Mathematical Induction
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A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?

[4] Combinatorics and Mathematical Induction
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A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

What is the maximum number of different answers can the students give?

[4] Combinatorics and Mathematical Induction
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A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

How will the answer change if each question may have more than one correct answers?

[4] Combinatorics and Mathematical Induction
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How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?

[4] Combinatorics and Mathematical Induction
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8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?

[4] Combinatorics and Mathematical Induction
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8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?

[4] Combinatorics and Mathematical Induction
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8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?

[4] Combinatorics and Mathematical Induction
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Find the distinct permutations of the letters of the word MISSISSIPPI?

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
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How many ways can the product a2 b3 c4 be expressed without exponents?

[4] Combinatorics and Mathematical Induction
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In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together

[4] Combinatorics and Mathematical Induction
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In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?

[4] Combinatorics and Mathematical Induction
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A coin is tossed 8 times, how many different sequences of heads and tails are possible?

[4] Combinatorics and Mathematical Induction
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A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?

[4] Combinatorics and Mathematical Induction
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