Latest TCS Aptitude Question SOLUTION: In how many ways we distribute 10 identical looking pencils to 4 students so that each student get at least one?

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In how many ways we distribute 10 identical looking pencils to 4 students so that each student get at least one?

Asked In TCS Arpit Rawat (10 years ago)

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RAKESH  (10 years ago)

each student get at least one pencil so distribute 4 pencil to 4 student so that each get 1.
remaining 10-4=6 pencils have to distribute in 4 students so that one gets 0,1 or 2 pencil
no. of ways = (n+r-1)C(r-1)
here, n=6 & r=4

so, no. of ways = (6+4-1)C(4-1) = 9C3 = 9C6 = 84

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saket malik  (9 years ago)

each student gets at least 1 therefore pencils left for distribution=6
6 pencils can be distributed to 4 students in 6C4 ways.
=>15 ways.

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sai charan  (9 years ago)

9c3 ways

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abhishek  (9 years ago)

the total no. of ways = 10p4
10*9*8*7/4*3*2*1= 210 ways

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monty shekhar sahu  (9 years ago)

identical things n=10
r=4
apply n+r-1 C r-1 = 10+4-1 C 4-1 = 13 C 3 = 286

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Aakanksha Pandey  (9 years ago)

nCr
6C4=15 ways

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