Math, asked by VijayPaulRaj, 8 months ago

twelve students want to place order of different ice-creams in a ice-cream parlour, which has six types of ice-creams. find the number of orders that the twelve students can place?​

Answers

Answered by Anonymous
6

Greedy students. Eat any one flavour and go home guys!

Why are u causing trouble to our friend @VijayPaulRaj???

Answered by rohitkumargupta
1

Answer:

= 665280

Step-by-step explanation:

Given that ,

twelve students want to place order of different ice-cream in a ice-cream parlour.

and there are six types of ice-cream.

To find the how many ways the twelve students can place order of ice cream.

So,

As per given question .

If the condition of placing the order of ice-cream is without-repetition.

Then ,

By using the formula of permutation without - repetition.

P ( n, r ) = \frac{n!}{(n-r)!}

              where n = 12 and r = 6.

P ( 12 , 6 ) = \frac{12!}{(12-6)!}

                = \frac{12!}{6!}

                = \frac{12*11*10*9*8*7*6!}{6!}

                = 12*11*10*9*8*7

                = 665280

Therefore the total number ways of placing the order is 665280.

THANKS.

#SPJ3.

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