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In a shop, there are five types of ice-c...

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 `.^(10)C_(4)`.
Statement-2: The number of different ways the child can buy six ice-creams is equal to the number of different ways to arranging 6A's and 4B's in a row.

Text Solution

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possible ways`.^(n+r-1) C_(r-1)`
`= .^(6+5-1) C_(5-1)= .^10 C_4`
2)`.^10 C_6 * 1*1 = .^10C_(10-6) = .^10 C_4`
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