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Tamil Nadu Board of Secondary EducationHSC Science Class 11

HSC Science Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

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How many three-digit numbers, which are divisible by 5, can be formed using the digits 0, 1, 2, 3, 4, 5 if repetition of digits are not allowed?

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
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How many three-digit numbers, which are divisible by 5, can be formed using the digits 0, 1, 2, 3, 4, 5 if repetition of digits are allowed?

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
Concept: undefined >> undefined

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To travel from a place A to place B, there are two different bus routes B1, B2, two different train routes T1, T2 and one air route A1. From place B to place C there is one bus route say B1, two different train routes say T1, T2 and one air route A1. Find the number of routes of commuting from place A to place C via place B without using similar mode of transportation

[4] Combinatorics and Mathematical Induction
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How many numbers are there between 1 and 1000 (both inclusive) which are divisible neither by 2 nor by 5?

[4] Combinatorics and Mathematical Induction
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How many strings can be formed using the letters of the word LOTUS if the word either starts with L or ends with S?

[4] Combinatorics and Mathematical Induction
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How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S?

[4] Combinatorics and Mathematical Induction
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Count the total number of ways of answering 6 objective type questions, each question having 4 choices

[4] Combinatorics and Mathematical Induction
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In how many ways 10 pigeons can be placed in 3 different pigeon holes?

[4] Combinatorics and Mathematical Induction
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Find the number of ways of distributing 12 distinct prizes to 10 students?

[4] Combinatorics and Mathematical Induction
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Find the value of 6!

[4] Combinatorics and Mathematical Induction
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Find the value of 4! + 5!

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Find the value of 3! – 2!

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Find the value of 3! × 2!

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Find the value of `(12!)/(9! xx 3!)`

[4] Combinatorics and Mathematical Induction
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Find the value of `(("n" + 3)!)/(("n" + 1)!)`

[4] Combinatorics and Mathematical Induction
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Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 6, r = 2

[4] Combinatorics and Mathematical Induction
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Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 10, r = 3

[4] Combinatorics and Mathematical Induction
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Evaluate `("n"!)/("r"!("n" - "r")!)` when for any n with r = 2

[4] Combinatorics and Mathematical Induction
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Find the value of n if (n + 1)! = 20(n − 1)!

[4] Combinatorics and Mathematical Induction
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Find the value of n if `1/(8!) + 1/(9!) = "n"/(10!)`

[4] Combinatorics and Mathematical Induction
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