FACTORIAL CONCEPT

MULTIPLE CORRECT ANSWER TYPE

Which of the following is true (mn!)^2 is divisible by

a) (m!)^(m+1)*(n!)^(n+1)

b) (m!)^n * (n!)^m

c) (n!)^n * (m!)^m

substituting values n gettin ans is pretty easi here i wud like 2 kno da meth 2 solve this type if ane???

4 Answers

62
Lokesh Verma ·

B is the correct answer....

62
Lokesh Verma ·

The reason being that...

(mn)! is divisible by m! for every consecutive m numbers..

because the product of m consecutive numbers is divisible by m!

So mn! is divisible by (m!)^n

similarly it is by n!^m

thus b satisfies

1
MAGIC MATH ROCKS ·

thnx.... nice one!!!
Ur answer is correct but even c is a correct ans....

bcoz it is a multiple correct ans we'll hav to try out all of them,.....

so can u pl. tell me how can we say that a is invalid???

1
MAGIC MATH ROCKS ·

CAN SUMBUDDY HELP IN PROVIN DA OTHER PARTS PL.

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