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The total number of rooms to display is, 4 Number of paintings received is 6. get any of the 6 paintings painting is placed in first room, the 2nd can get any of the remaining 5 paintings As the pattern of the painting is not specified, the first room can Once a room has 3 possibilities Similarly, the 3rd room has 4 possibilities and 4th So, the number of ways the curator can arrange the paintings is, Number of ways 6x 5x4x3 _ = 360
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