Q63.A man ๐ has 7 friends, 4 of them are ladies and 3 are men. His wife ๐ also has 7 friends, 3 of them are ladies and 4 are men. Assume ๐ and ๐ have no common friends. Then the total number of ways in which ๐ and ๐ together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of ๐ and ๐ are in this party is: (1) 485 (2) 468 (3) 469 (4) 484
What This Question Tests
This question tests the ability to apply combinations and perform a systematic case analysis to count the total number of ways to invite friends to a party under specific constraints on gender distribution and individual contributions.
Concepts Tested
Formulas Used
nCr = n! / (r! * (n-r)!)
๐ NCERT Sections This Tests
5.23 โ Give The Oxidation State, D Orbital Occupation And Coordination Number Of
Chemistry Class 11 ยท Chapter 5
5.23 Give the oxidation state, d orbital occupation and coordination number of the central metal ion in the following complexes: (i) K3[Co(C2O4)3] (iii) (NH4)2[CoF4] (ii) cis-[CrCl2(en)2]Cl (iv) [Mn(H2O)6]SO4
5.28 โ How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 ยท Chapter 5
5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
13.5 โ The Q Value Of A Nuclear Reaction A + B ยฎ C + D Is Defined By
Physics Class 12 ยท Chapter 13
13.5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ mC โ md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H โ12 H+12 H (ii) 126 C+126 C โ1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Combinations and distribution
- Year
- 2017
- Shift
- 02 Apr
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutation & Combination
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