How many solutions are possible for abcd = 5^12, where a, b, c and d are natural numbers?

123

No worries! We‘ve got your back. Try BYJU‘S free classes today!

455

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

344

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 455
Similar to different grouping( permutation and combination)

a,b,c,d will all be some power of 5 from 0 to 12.
This question is same as a + b + c + d = 12
Solutions = ¹⁵C₃

12 identical things to 4 distinct groups = ¹⁵ C₃ = 455

Suggest Corrections

Similar questions

x

y

Join BYJU'S Learning Program