SQ 3-4 TL33-34

Given digits 0, 1, 4, 5, 6, 7 and 9.

Choose 3 digits with repetition from these digits to form 3-digit numbers.

Among them, how many odd numbers are there?

How many 2-digit numbers are there such that the number contains digit 1?

A pizza shop offers 3 different kinds of crust and 6 different kinds of toppings.

How many different pizzas can you choose with one kind of crust and two

different kinds of toppings?

A drink shop has 3 types of drinks and 7 types of toppings.

How many ways can Peter buy 1 drink with 2 toppings?

(Type of toppings cannot be repeated).

A line segment is formed by joining 2 points.

Given that there are 10 points, at most how many line segments can be

formed by joining these points?

It is given that the total weight of 5 apples and 3 oranges is 1470g.

The weight of 2 apples is the same as that of 3 oranges.

What is the weight, in grams of 1 apple?

In how many ways can the letters in the word “NUMBERS” be arranged such

that letters U, B and E are listed together in the order ‘UBE’?

Two boys Bobby, Benny and two girls Grace, Gloria are to be seated in a row

according to the rule that a boy will not sit next to another boy and a girl will

not sit next to another girl.

Find the number of the combinations satisfying the above condition.