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Probability
Level
2
In a hotel there are 7 pizzas, 8 burgers and 9 cakes. You can order either the individual stuffs or the combination of 2 different stuffs or you can order all the 3 different stuffs at a time. In how many ways you can order your stuffs?
The answer is 719.
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1 solution
If you have to order individual stuffs there are only 24 ways (9+8+7). For example you can order 3 burger or 4 pizza etc.. Now for two stuffs at a time so 7 burgers and 8 pizzas at a time so 7 * 8 = 56. Now, number of ways for 8 pizzas and 9 cakes so 8 * 9=72. Number of ways for 7 burgers and 9 cakes at a time 7 * 9=63. Now for all three stuffs at a time so we will calculate it as 9 * 8 * 7 = 504. Remember we are making combinations here so we will use Permutations here. Now to find the total number of ways we will add all are combinations So.. Answer is 24 + 56 + 72 + 63 + 504= 719.