There are 18 chairs in a row (marked 1,2,..., 18) to seat 6 chemistry majors, 5 AMS majors and 7 music majors. (There are no double majors.) Find the number of possible seatings for each of the following:(a). The Chemistry majors must sit in the first 6 seats.(b). The Chemistry majors can not sit in the first 6 seats.(c). The students with the same majors must sit in a "block" (meaning each major sits together).

(a) (b) (c)

Step-by-step explanation:

GIVEN: There are chairs in a row (marked ) to seat chemistry majors, AMS majors and music majors. (There are no double majors).

TO FIND: Find the number of possible seating for each of the following:(a). The Chemistry majors must sit in the first seats.(b). The Chemistry majors can not sit in the first seats.(c). The students with the same majors must sit in a "block" (meaning each major sits together).

SOLUTION:

(a)

as chemistry major first seats, and rest will sit on last seats.

total number of possible seating

(b)

as chemistry major last seats, and rest will sit on first seats.

total number of possible seating

(c)

if the students with the same majors must sit in a block.

then total number of possible seating

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58