Shirley and Ben are going souvenir hunting. They come across a store that sells all sorts of key-chains. i. If they buy 75 key-chains, and have six bags to store the key-chains, how many different ways can the key-chains be assigned to the bags? ii. Assume that they pick only 19 key-chains. Both Shirley and Ben really like this key-chain, so they want each of the six bags to have at least two of them. How many different ways can the 19 key chains be assigned to the bags? iii. Assume they buy 32 key chains and want to distribute them in six bags, one for each friend. They want to make sure everyone has at least 3 key-chains, but no more than 9 key-chains. How many ways can they assign the key chains to the bags given these restrictions?
Shirley and Ben are going souvenir hunting. They come across a store that sells all sorts of key-chains.
i. If they buy 75 key-chains, and have six bags to store the key-chains, how many different ways can the key-chains be assigned to the bags?
ii. Assume that they pick only 19 key-chains. Both Shirley and Ben really like this key-chain, so they want each of the six bags to have at least two of them. How many different ways can the 19 key chains be assigned to the bags?
iii. Assume they buy 32 key chains and want to distribute them in six bags, one for each friend. They want to make sure everyone has at least 3 key-chains, but no more than 9 key-chains. How many ways can they assign the key chains to the bags given these restrictions?
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