Q64.Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits, at least 2 orange, at least one red apple and at least one white apple must be given, then the number of ways, Anil's mother can offer 5 fruits to Anil is _____ .
What This Question Tests
This problem involves selecting items with multiple 'at least' conditions, requiring careful enumeration of all possible cases using combinations. It tests meticulous casework and application of the combination formula.
Concepts Tested
Formulas Used
nCr = n!/(r!(n-r)!)
๐ NCERT Sections This Tests
1.28 โ Calculate The Mass Percentage Of Aspirin (C9H8O4) In Acetonitrile (Ch3Cn) When
Chemistry Class 11 ยท Chapter 1
1.28 Calculate the mass percentage of aspirin (C9H8O4) in acetonitrile (CH3CN) when 6.5 g of C9H8O4 is dissolved in 450 g of CH3CN.
1.30 โ Calculate The Amount Of Benzoic Acid (C6H5Cooh) Required For Preparing 250
Chemistry Class 11 ยท Chapter 1
1.30 Calculate the amount of benzoic acid (C6H5COOH) required for preparing 250 mL of 0.15 M solution in methanol.
9.15 โ Apply Mirror Equation And The Condition:
Physics Class 12 ยท Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Combinations with restrictions
- Year
- 2023
- Shift
- 25 Jan Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutation & Combination
More from this Chapter
Q85.The set S = {1, 2, 3, โฆ , 12) is to be partitioned into three sets A, B, C of equal size. Thus, A โชB โชC = S, A โฉB = B โฉC = A โฉC = ฯ . The number of ways to partition S is (1) 12! (2) 12! 3!(4!)3 3!(3!)4 (3) 12! (4) 12! (4!)3 (3!)4
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