Q71.The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike, is
What This Question Tests
This question requires categorizing the letters of a word, selecting letters with specific conditions (two alike, two distinct), and then arranging them, combining principles of combinations and permutations.
Concepts Tested
Formulas Used
nCr
nPr
n! / (p!q!...)
๐ NCERT Sections This Tests
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.
5.12 โ Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 ยท Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
1.1 โ Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 ยท Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Combinations with repetition
- Year
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q71
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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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.
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