Q70.The total number of functions, ๐: 1, 2, 3, 4 โ1, 2, 3, 4, 5, 6 such that ๐1 + ๐2 = ๐3, is equal to (1) 60 (2) 90 (3) 108 (4) 126
What This Question Tests
This question tests the ability to count the number of functions satisfying a specific condition (f(1) + f(2) = f(3)) by systematically considering possible values and applying the multiplication principle.
Concepts Tested
Formulas Used
Multiplication principle of counting
๐ NCERT Sections This Tests
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
1.3 โ Define The Following Terms:
Chemistry Class 11 ยท Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Counting functions
- Year
- 2022
- Shift
- 25 Jul Shift 1
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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
Q74.In a shop there are five types of ice-creams available. A child buys six ice-creams. Statement -1: The number of different ways the child can buy the six ice-creams is 10C5 . Statement โ2 : The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A's and 4 B's in a row. (1) Statement โ1 is false, Statement โ2 is true (2) Statement โ1 is true, Statement โ2 is true, Statement โ2 is a correct explanation for Statement โ1 (3) Statement โ1 is true, Statement โ2 is true; (4) Statement โ1 is true, Statement โ2 is false. Statement โ2 is not a correct explanation for Statement โ1.
Q75.How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (1) 8 โ 6C4 โ 7C4 (2) 6.8 โ 7C4 (3) 6 โ 7 โ 8C4 (4) 7 โ 6C4 โ 8C4
Q63.From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then the number of such arrangements is (1) less than 500 (2) at least 500 but less than 750 (3) at least 750 but less than 1000 (4) at least 1000