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How many ways can atleast 2 fruits be selected out of 5 Mangoes, 4 Apples, 3 Bananas and three different fruits

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Important Questions on Permutation and Combination

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 81
The number of ways in which 10 identical apples can be distributed among 6 children so that each child receives atleast one apple is:
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 82
Number of ways in which 3 persons throw a normal die to have a total score of 11 is
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 83
If chocolates of a particular brand are all identical then the number of ways in which we can choose 6 chocolates out of 8 different brands available in the market, is
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 84
Number of positive integral solutions of x1.x2.x3=30 is
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 85
There are six letters L1, L2, L3, L4, L5, L6 and their corresponding six envelopes E1, E2, E3, E4, E5, E6. Letters having odd value can be put into odd value envelopes and even value letters can be put into even value envelopes, so that no letter go into the right envelopes, then number of arrangement equals.
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 86
Seven cards and seven envelopes are numbered 1, 2, 3, 4, 5, 6, 7 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card number 1 is always placed in envelope number 2 and 2 is always placed in envelope numbered 3, then the number of ways it can be done is
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 87
The number of ways of choosing triplets x, y, z such that z≥ max x, y and x, y, z∈1, 2, 3……, n is
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 88
The streets of a city are arranged like the lines of a chess board. There are m streets running North to South & 'n' streets running East to West. The number of ways in which a man can travel from NW to SE corner going the shortest possible distance is: