IIT JEE , AIEEE Forum - Mathematics , Algebra

man111

(1) find the positive integral solution of w!=_{[i=1 ]}^{[n ]} x_i!

(2)how can i solve question of type

19⁹² is divisable by 92

rahulr

the 1st equation is wrong undoubtedly wrong....or may b u have printed it wrong....

for 2nd question...

since 19 is a prime no.....so any power of 19 can b divisble only by
19k type numbers....where k can be any positive no.
since here 92 is not a type of 19k...thrfore....(19^92) is not divisible by 92..

such questions are solved by checking divisibility of various nos. given in problem...like i checked divisibilty of 19 and 92 above

hopw u got me....

sboosy

19^92 = 19*19*19.....92 times
which is an odd number

any multiple of 92 is even because it contains a factor of 2 in it
so obviously 19^92 not divisible by 92

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