# PnC Examples – Whole Number Solutions: Variants

## 14 thoughts on “PnC Examples – Whole Number Solutions: Variants”

1. M |

Hi J..

can u pls post a lead daily…that would be immensely helpful….and can we have some posts for verbal as well …

Regards,
M

• Sure I can, if I quit my job and do this full-time ðŸ™‚

regards
J

2. Renu |

Sir, is there any post or material for preparation of logic reasoning & functions?
Thanks & Regards,

• Not as such. I have put some video posts on DI last year (which included several LR as well) and for sequences there are several posts. Functions in general is too amorphous a topic I felt, could not think of anything I could do to add value, honestly!

regards
J

3. Sir…for odd natural numbers, (Total – Even) i.e 19C3 – 9C3 should also be correct. Right?

• No it wouldn’t work as they are mutually exclusive but not exhaustive….there could also be cases of some even and some odd, right?

regards
J

• oh yes! Got it ðŸ™‚ Thank u ðŸ™‚

• Karan |

Sir, What if there is a condition, let’s say, P should be an odd number greater than 5.
Or all of P Q R S should be greater than 3
And p+q+r+s =40

Thanks

• Karan, use your imagination: for example all of PQRS to be more than 3, and total 40 => give them all 3 first and then distribute the remaining 40-12 = 28. Don’t worry anyway, this will be beyond the level you can expect.

regards
J

4. M |

oopsy! that a tough call…jokes apart, thanks for the brilliant posts…:)

regards
M

5. sir in the second last question where a+b+c+d = 20,Since question is asking for even natural no so i took 2,4,6,8 and now the case become distinct no with distinct objects my answer is 4*3*2*1 = 24 ? Please explain where i am wrong

• You are answering a totally different question – “number of 4 digit numbers with distinct digits such digits are even natural numbers”. Here, we want even numbers and not even digits, and numbers could repeat as well. The numbers could even be 12 or 14 (for example 12 + 2 + 4 + 2 = 20 or 14 + 2 + 2 + 2 = 20)

regards
J

6. Lakshman |

Hello Sir,

In the last post, can’t we consider odd numbers to be expressed as 2*a-1 in general? This gives a different answer all together.

• If you do so, you will have to change your a, b, c, d to natural and not whole numbers (as when a is 0, 2a – 1 will be negative!). The answer will still be the same consequently…

regards
J