Three natural numbers are taken at random from the set A={x/1≤x≤100,x∈N} and the probability that the A.M of the numbers taken is 25 is K 100C3 then the digit in units place of k is

n(s)=100C3 Since AM of 3 numbes is = 25 Then their sum is 75 x1+x2+x3=75,x1≥x2≥1,x3≥1 Number of +ve integral solutions 74C2=2701 Required probability = 2701 100C3

Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Three natural numbers are taken at random from the set $A = {x / 1 \leq x \leq 100, x \in N}$ and the probability that the A.M of the numbers taken is 25 is $\frac{K}{^{100} C_{3}}$ then the digit in units place of k is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 1.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$n (s) =^{100} C_{3} S i n c e A M o f 3 n u m b e s i s = 25 T h e n t h e i r s u m i s 75 x_{1} + x_{2} + x_{3} = 75, x_{1} \geq x_{2} \geq 1, x_{3} \geq 1 N u m b e r o f + v e i n t e g r a l s o l u t i o n s^{74} C_{2} = 2701 R e q u i r e d p r o b a b i l i t y = \frac{2701}{^{100} C_{3}}$

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET