In a shop there are five types of $$ice-creams$$ available. A child buys six $$ice-creams$$.Statement $$1$$: The number of different ways the child can buy the six $$ice-creams$$ is $$10C5$$.Statement $$2$$: The number of different ways the child can buy the six $$ice-creams$$ is equal to the number of different ways of arranging $$6$$ A’s and $$4$$ B’s in a row.

Question

In a shop there are five types of $$ice-creams$$ available. A child buys six $$ice-creams$$.Statement $$1$$: The number of different ways the child can buy the six $$ice-creams$$ is  $$10C5$$.Statement $$2$$: The number of different ways the child can buy the six $$ice-creams$$ is equal to the number of different ways of arranging $$6$$ A’s and $$4$$ B’s in a row.

Infinity Learn · Accepted Answer

$$x1+x2+x3+x4+x5=65+6$$−$$1C5$$−$$1=10C4$$

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