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Find the number of ways in which a person can buy 6 chocolates, if there are three types of chocolates available. (Chocolates of same type are identical)

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Important Questions on Permutations and Combinations

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IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 40
Cr+1n+Cr-1n+2Crn=
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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 41
On the eve of new year each student of class XI sends cards to his classmates. If there are 40 students in the class number of cards exchanged during the process is
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JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 42
A box contains 3 red, 4 white and 2 black balls. The number of ways in which 3 balls can be drawn from the box, so that at least one ball is red (all balls are different).
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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 43
In how many ways 6 students and 4 teachers be arranged in a row so that no two teachers are together?
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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 44
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4; and then the men select the chairs from amongst the remaining. The number of possible arrangements is :
EASY
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IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 45
Harsha invites 13 guests to a dinner and places 8 of them at one table and remaining 5 at the other, the table being round. The number of ways he can arrange the guests is
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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 46
Number of different straight lines that can be formed by joining 12 different points on a plane of which 4 are collinear is
EASY
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IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 47
A polygon has 90 diagonals. Number of its sides is