TCS Company Numerical Ability Permutation and Combination

. In how many ways can we distribute 10 pencils to 4 children so each child gets atleast one pencil?

Read Solution (Total 5)

(n-1)c(r-1)
(10-1)c (4-1)
9c3= 84
8 years agoHelpfull: Yes(6) No(2)

correct ans is
9c3
8 years agoHelpfull: Yes(6) No(2)
firstly give 1 pencil each to the 4, now we can distribute the remaining 6 pencils any way we like.
using the "stars and bars" formula, (6+4-1)C(4-1)
= 9C3 = 84
8 years agoHelpfull: Yes(3) No(1)
1+6c4=16.
give 1 pencil to every boy means(10-4=6).
remaining 6 can be distributed by 6c4=15.
so 1+15=16
8 years agoHelpfull: Yes(0) No(3)
total no. of child is=4 and no. of pencil is=10

i.e A+B+C+D=10

n=10, r=4, k=1(at least one)

by formula
(n-kr+r-1)C(r-1)
9c3=84(ways)
8 years agoHelpfull: Yes(0) No(1)

TCS Other Question

The famous church in the city of Kumbakonam has a big clock tower and is said to be over 300 years old. Every Monday 10.00 A M the clock is set by Antony, doing service in the church. The Clock loses 6 minutes every hour. What will be the actual time when the faulty clock shows 3 P.M on Friday?

I am asking this question because no body has given unique correct answer.
Please don't give links of answer.
I need correct answer with full solution.

Highly confused.

Also what is the real meaning of "The Clock loses 6 mins every hour".
Means when actually 1 hr passes then faulty clock shows 54 min or
when actually 1 hr 6 min passes then faulty clock shows 1 hr. . A drawer holds 4 red hats and 4 blue hats. what is probability of getting exactly 3 red hats or 3 blue hats when taking out 4 hats randomly out of drawer and immediately returning every hat to drawer before taking out next??