CHILD DEVELOPMENT PEDAGOGY

Detailed explanation-1: -Total number of handshakes = 10C2 = (10 × 9)/2 = 45 handshakes. When 10 people are shaking hands, each one will shake hands with 9 others. The total number of handshakes in actual = 90/2 = 45 handshakes. ∴ The total number of handshakes is 45.

Detailed explanation-2: -Ask, “How many handshakes occur with 10 people?” Using the table, students may see that one more is added in each row than was added in the previous row; therefore, for 10 people, there would be 36 + 9 = 45 handshakes.

Detailed explanation-3: -# handshakes = 10*(9)/2. # handshakes = 90/2. So, there are 45 handshakes that can be made between 10 people.

Detailed explanation-4: -If two people shake hands there is one handshake. If three people shake hands there are 3 handshakes. If four people shake hands there are 3 more handshakes so 3 + 3 = 6 in total. If five people shake hands there are another 4 handshakes so 6 + 4 = 10.

Detailed explanation-5: -Explanation: If there are n people in a room, each person will shake hands with the (n-1) remaining people as they will not be shaking hands with themselves – hence we get (n)(n-1). However, we need to divide this number by 2 since one handshake allows two people to shake hands. Q1.