Permutations and Combinations

answered on 16-Jul-24 21:53

There is one question: Prove that 33 ! is divisible by 2^15. What is the largest integer n such that 33! is divisible by 2n?

latest answer

In terms of prime factors 33! can be written as 2^a ⋅ 3^b 5^c ⋅ 7^d … (33!)=33/2+33/2^2+33/2^3+33/2^4+33/2^5 =16+8+4+2+1=31 Hence, the exponent of 2 in 33! is 31. ∴ Largest value of n is 31.

Vageesh Hegde

CA Foundation

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Dispersion in stats

answered on 16-Jul-24 21:57

Que 9 me mrko smjh nai rha so pls pura que detail m btana

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Pfa

Mahi Gupta

CA Foundation

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50

Doubt

answered on 09-Jul-24 21:48

Can you please explain the step that I underlined. Which property is taken in that step? And even if that is (7-4√3)^2 the answer will the different.

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Denominator is in the form of (a-b). So they used (a+b) and multiplied both Denominator and Numerator.

Aamina Muneera

CA Foundation

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51

Permutations and combinations

answered on 11-Jul-24 16:13

3 ladies and 3 gents can be seated at a round table so that any two and only two of the ladies sit together. the number of ways

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Select 2 ladies from 3 = 3c2 = 3 ways Now they can sit in 2 ways Considering these 2 ladies a group,the remaining lady has only 2 seats left which she can occupy in 2 ways 3 men can arrange themselves in 3! = 6 ways Total ways is 3*2*2*6 =72 ways

Sathya S

CA Foundation

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68

Doubt

answered on 01-Jul-24 07:34

Chapter 1, additional question bank, qs no 46. Can you explain the step that I underlined.

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Please follow the formula and check the next step.

Aamina Muneera

CA Foundation

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62

Permutation

answered on 01-Jul-24 07:33

Why repeation is not allowed in rearrangement

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In the example COMPUTER is already the word given and they are asking for number of rearrangement. So you cannot COMPUTER again. Total answer- 1 word already given which is COMPUTER

Sathya S

CA Foundation

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57

Permutations

answered on 29-Jun-24 12:11

Why 0 is not taken in thousands and hundreds place while forming permutation for 4 digit number

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0 is not taken at the left most place because it no value. For example- 0321 is not a four digit number . It is a three digit number.

Sathya S

CA Foundation

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61

Equation

answered on 28-Jun-24 19:59

if α,β be the roots of 2x^2-4x-1=0, find the value of α^2/β+β^2/α

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Here is the solution

VIJAY EDITZZ

CA Foundation

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76

Indices

answered on 18-Jun-24 14:39

Exercise 1(C) question no. 18, in the pdf the power value is 3/2 but in the text book it is 2/3.

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Here is right solution

Aamina Muneera

CA Foundation

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88

Correlation and regression

answered on 17-Jun-24 21:35

Page no 17.56 extra question no 42

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Answer is D because we need 2 equations to determine which is X on Y and Y on X.

Bharavi Kothari

CA Foundation

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