Dices again come to play with you.
Probability
Level
pending
How many distinct throws are possible with a throw of 5 indistinguishable dices?
Details: Throws means outcomes on the upper face of dices.
420
126
504
210
252
105
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1 solution
On upper face of any dice, any digit (from 1-6) can come with a maximum repetition of 5 times. Suppose 1 comes a times, 2 comes b times ,3 comes c times, 4 comes d times, 5 comes e times and 6 comes f times.
Then a+b+c+d+e+f must be equal to 5.
Since (a,b,c,d,e,f)<=6 , hence multinomial formula is directly applicable here, which gives answer as 10C5 = 252.