In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece. what is the minimum number of moves required to complete a two-thousand piece jigsaw puzzle that is separated into individual pieces?

1999 moves are required.

Step-by-step explanation:

Given is - In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece.

This means exactly moves are required to solve a jigsaw puzzle with n pieces.

Here, n = 2000

So, moves will be =

Hence. 1999 moves are needed to solve the puzzle.

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b