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Math Help - Help me!!!!!

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    Thumbs down Help me!!!!!

    4. A pizzeria offers 10 different toppings. A group of people plan to order six pizzas, with up to three toppings on each. They decide to order each topping exactly once and to have at least on topping on each pizza. Determine the different cases possible when distributing the toppings in this way and the number of ways that each can be done.
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  2. #2
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    Quote Originally Posted by crazy_gal108
    4. A pizzeria offers 10 different toppings. A group of people plan to order six pizzas, with up to three toppings on each. They decide to order each topping exactly once and to have at least on topping on each pizza. Determine the different cases possible when distributing the toppings in this way and the number of ways that each can be done.
    If,
    1,2,...10 are the names of the toppings then all the pizza's which can be formed is,
    Code:
    123  
    456
    789
    0XX 
    XXX
    XXX        
    
    123
    456
    78X
    90X
    XXX
    XXX       
    
    123
    456
    7XX
    8XX
    9XX
    0XX
    
    123
    45X
    67X
    89X
    0XX
    XXX
    
    123
    45X
    67X
    8XX
    9XX
    0XX
    
    12X
    34X
    56X
    78X
    90X
    XXX
    
    12X
    34X
    56X
    78X
    9XX
    0XX
    Where X is another topping or nothing (cuz' pizzas can have less then 3 toppings in this problem).
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