High School

How many ways can 4 students sit in a row of 19 chairs for a photograph?

A. 93,588
B. 93,024
C. 92,367
D. 93,387

Answer :

There are 93,387 ways for 4 students to be seated in a row of 19 chairs for a photograph.

To calculate the number of ways the students can be seated, we use the permutation formula. The formula for permutations is P(n, r) = n! / (n - r)!, where n is the total number of items and r is the number of items selected. In this case, n is 19 (number of chairs) and r is 4 (number of students).

Plugging these values into the formula, we get P(19, 4) = 19! / (19 - 4)!. Simplifying further, this becomes 19! / 15!. By calculating the factorials, this is equal to (19x18x17x16) / (4x3x2x1) = 93,387.

Hence, there are 93,387 ways for the 4 students to be seated in the given arrangement of chairs.

Learn more about Permutation click here :brainly.com/question/11732255

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