How many ways will Elsa arrange her collections - 5 flowers, 4 vases, 6 pots, and 7 mini-tables
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How many ways will Elsa arrange her collections - 5 flowers, 4 vases, 6 pots, and 7 mini-tables
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Answer:
There are 4,972,960 different ways for Elsa to arrange her 5 flowers among her collection of 4 vases, 6 pots, and 7 mini-tables.
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Step-by-step explanation:
To find the number of ways Elsa can arrange her collections, we need to find the number of permutations (arrangements) of these items. In this case, we can use the formula for permutations of n distinct objects taken r at a time, denoted as nPr, which is given by:
nPr = n! / (n - r)!
Where n is the total number of items and r is the number of items being arranged at a time. In this case, n = 5 + 4 + 6 + 7 = 22 and r = 5, so the number of ways Elsa can arrange her flowers is:
22P5 = 22! / (22 - 5)! = 22! / 17! = 22 * 21 * 20 * 19 * 18 / 5 * 4 * 3 * 2 * 1 = 4,972,960.