Question

Evaluate 7c1 and 6p4

Answer 1

7c1 is an algebraic expression that evaluates to 47. The expression is made up of two terms, 7 and c1. The letter c is a variable and the number 1 represents the exponent of the variable. Therefore, 7 multiplied by the c to the power of 1 is equal to 7 times c, which is equal to 47.

6p4 is an algebraic expression that evaluates to 6,040. The expression is made up of two terms, 6 and p4. The letter p is a variable and the number 4 represents the exponent of the variable. Therefore, 6 multiplied by the p to the power of 4 is equal to 6 times p to the fourth power, which is equal to 6,040.

Answer 2

To evaluate the expressions:

7C1:
7C1 represents the number of ways to choose 1 item from a set of 7 items without regard to order, which is known as a combination.
7C1 = 7! / (1!(7-1)!)
= 7! / (1! * 6!)
= 7 / 1
= 7

Therefore, 7C1 is equal to 7.

6P4:
6P4 represents the number of ways to arrange 4 items in a sequence from a set of 6 items, taking order into account. This is known as a permutation.
6P4 = 6! / (6-4)!
= 6! / 2!
= 6 * 5 * 4 * 3
= 360

Therefore, 6P4 is equal to 360.